{"id":1203,"date":"2021-02-05T04:16:57","date_gmt":"2021-02-05T04:16:57","guid":{"rendered":"https:\/\/clasesdemecanica.net\/?page_id=1203"},"modified":"2022-07-22T04:07:19","modified_gmt":"2022-07-22T04:07:19","slug":"centroides","status":"publish","type":"page","link":"https:\/\/clasesdemecanica.net\/index.php\/centroides\/","title":{"rendered":"Centroides"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1203\" class=\"elementor elementor-1203\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7ad78324 elementor-section-content-middle elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"7ad78324\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6697df55\" data-id=\"6697df55\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-59409fff elementor-widget elementor-widget-heading\" data-id=\"59409fff\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">CENTROIDES Y CENTROS DE GRAVEDAD<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1d807261 elementor-widget-divider--separator-type-pattern elementor-widget-divider--no-spacing elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"1d807261\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\" style=\"--divider-pattern-url: url(&quot;data:image\/svg+xml,%3Csvg xmlns=&#039;http:\/\/www.w3.org\/2000\/svg&#039; preserveAspectRatio=&#039;xMidYMid meet&#039; overflow=&#039;visible&#039; height=&#039;100%&#039; viewBox=&#039;0 0 120 26&#039; fill=&#039;black&#039; stroke=&#039;none&#039;%3E%3Cpolygon points=&#039;0,14.4 0,21 11.5,12.4 21.3,20 30.4,11.1 40.3,20 51,12.4 60.6,20 69.6,11.1 79.3,20 90.1,12.4 99.6,20 109.7,11.1 120,21 120,14.4 109.7,5 99.6,13 90.1,5 79.3,14.5 71,5.7 60.6,12.4 51,5 40.3,14.5 31.1,5 21.3,13 11.5,5 \t&#039;\/%3E%3C\/svg%3E&quot;);\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-42c058e3 elementor-widget elementor-widget-text-editor\" data-id=\"42c058e3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>CENTROIDS AND CENTERS OF GRAVITY<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-db4ac81 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"db4ac81\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-f5c047e\" data-id=\"f5c047e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c9101e1 elementor-widget elementor-widget-heading\" data-id=\"c9101e1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">\u00bfQU\u00c9 ES UN CENTROIDE?<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bb05e88 elementor-widget elementor-widget-text-editor\" data-id=\"bb05e88\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>En geometr\u00eda, el centroide o baricentro de un objeto X perteneciente a un espacio n-dimensional es la intersecci\u00f3n de todos los hiperplanos que dividen a X en dos partes de igual n-volumen con respecto al hiperplano. Informalmente, es el promedio de todos los puntos de X.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-363fca3\" data-id=\"363fca3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8e646df elementor-widget elementor-widget-image\" data-id=\"8e646df\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"646\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centroide-de-un-triangulo.png\" class=\"attachment-large size-large wp-image-1204\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centroide-de-un-triangulo.png 1024w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centroide-de-un-triangulo-300x242.png 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centroide-de-un-triangulo-768x620.png 768w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centroide-de-un-triangulo-600x485.png 600w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9b735a9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9b735a9\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-8b27eae\" data-id=\"8b27eae\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ac794b0 elementor-widget elementor-widget-image\" data-id=\"ac794b0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/steemit.com\/stem-espanol\/@tsoldovieri\/son-iguales-el-centro-de-masa-y-el-centro-de-gravedad\">\n\t\t\t\t\t\t\t<img decoding=\"async\" width=\"602\" height=\"333\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centro-de-masa.png\" class=\"attachment-large size-large wp-image-1206\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centro-de-masa.png 602w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centro-de-masa-300x166.png 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Centro-de-masa-600x332.png 600w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Creada por @tsoldovieri<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-0da36e3\" data-id=\"0da36e3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c538de0 elementor-widget elementor-widget-heading\" data-id=\"c538de0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">\u00bfQUE ES EL CENTRO DE MASA?<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a0fb47c elementor-widget elementor-widget-text-editor\" data-id=\"a0fb47c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El centro de masas de un sistema discreto o continuo es el punto geom\u00e9trico que din\u00e1micamente se comporta como si en \u00e9l estuviera aplicada la resultante de las fuerzas externas al sistema. El centro de masas de un sistema de part\u00edculas es un punto que, a muchos efectos, se mueve como si fuera una part\u00edcula de masa igual a la masa total del sistema sometida a la resultante de las fuerzas que act\u00faan sobre el mismo. Se utiliza para describir el movimiento de traslaci\u00f3n de un sistema de part\u00edculas. Normalmente se abrevia como c.m. o <strong>G<\/strong>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-98aeab2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"98aeab2\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-3fa8922\" data-id=\"3fa8922\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ce5668d elementor-widget elementor-widget-heading\" data-id=\"ce5668d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">\u00bfQU\u00c9 ES EL CENTRO DE GRAVEDAD?<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f246d80 elementor-widget elementor-widget-text-editor\" data-id=\"f246d80\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El centro de gravedad es el punto imaginario de aplicaci\u00f3n de la resultante de todas las fuerzas de gravedad que act\u00faan sobre las distintas porciones materiales de un cuerpo, de tal forma que el momento respecto a cualquier punto de esta resultante aplicada en el centro de gravedad es el mismo que el producido por los pesos de todas las masas materiales que constituyen dicho cuerpo.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-dd7555c\" data-id=\"dd7555c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-87871ed elementor-widget elementor-widget-image\" data-id=\"87871ed\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/www.britannica.com\/science\/centre-of-gravity\">\n\t\t\t\t\t\t\t<img decoding=\"async\" width=\"768\" height=\"276\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Diagram-drum-center-of-gravity-stable-equilibrium-pull-torque.gif\" class=\"attachment-large size-large wp-image-1205\" alt=\"\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Tomada de Encyclop\u00e6dia Britannica<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fc72f4f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fc72f4f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0389908\" data-id=\"0389908\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bdb9728 elementor-widget elementor-widget-spacer\" data-id=\"bdb9728\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2233094 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2233094\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e880258\" data-id=\"e880258\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2ac6ffc elementor-widget elementor-widget-text-editor\" data-id=\"2ac6ffc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>En F\u00edsica, el centroide, el centro de gravedad y el centro de masa pueden, bajo ciertas circunstancias, coincidir entre s\u00ed, aunque designan conceptos diferentes. El centroide es un concepto puramente geom\u00e9trico que depende de la forma del sistema; el centro de masas depende de la distribuci\u00f3n de materia, mientras que el centro de gravedad depende del campo gravitatorio.<\/p><p>Consideremos un cuerpo material:<\/p><ul><li>Para que el centroide del cuerpo coincida con el centro de masa, el cuerpo debe tener densidad uniforme, en otras palabras el material debe ser homog\u00e9neo e isotr\u00f3pico.<\/li><li>Para que un centro de masa del cuerpo coincida con el centro de gravedad, el cuerpo debe estar bajo la influencia de un campo gravitatorio uniforme.<\/li><\/ul><p>\u00a0<\/p><p style=\"text-align: right;\"><em>Fuente: https:\/\/es.wikipedia.org\/wiki\/Centroide<\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ee4c230 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ee4c230\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d26d661\" data-id=\"d26d661\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-54dec0d elementor-widget elementor-widget-heading\" data-id=\"54dec0d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">PRIMER MOMENTO DEL AREA<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c66cf28 elementor-widget elementor-widget-text-editor\" data-id=\"c66cf28\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Lo primordial para poder determinar el primer momento de \u00e1rea es saber que es, partiendo de esto se pude decir que en concreto el primer momento de \u00e1rea no es nada m\u00e1s que la distancia a la que se ubica una figura del origen o punto (0,0), los primeros momentos de \u00e1rea se determinan con respecto al eje X y respecto al eje Y, con respecto al eje X seria la distancia a la que se ubica una figura de dicho eje en direcci\u00f3n de Y y viceversa el primer momento de \u00e1rea con respecto al eje Y ser\u00eda la distancia a la que se ubica la figura del eje Y con direcci\u00f3n en X.<\/p><p>Ahora que ya est\u00e1 definido en palabras claras que es un primer momento de \u00e1rea pasamos al siguiente punto, para que nos sirve, bueno la principal utilidad de estas medidas son el proporcionar informaci\u00f3n para determinar la ubicaci\u00f3n del centroide de una figura.<\/p><p>Ahora lo m\u00e1s importante del tema, como determinar los primeros momentos de \u00e1rea, para esto utilizamos la siguiente formula:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8b905a9 elementor-widget elementor-widget-image\" data-id=\"8b905a9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"707\" height=\"240\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Ecu-Primer-momento-centroide.png\" class=\"attachment-large size-large wp-image-1212\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Ecu-Primer-momento-centroide.png 707w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Ecu-Primer-momento-centroide-300x102.png 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Ecu-Primer-momento-centroide-600x204.png 600w\" sizes=\"(max-width: 707px) 100vw, 707px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9e6fde6 elementor-widget elementor-widget-text-editor\" data-id=\"9e6fde6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p id=\"h.p_Ho4_XvdVWSMW\" class=\"CDt4Ke zfr3Q\">D\u00f3nde:<\/p><p id=\"h.p_DZHUXe0jWZqn\" class=\"CDt4Ke zfr3Q vSYeUc\">Q<sub>y\u00a0<\/sub>= Primer momento de \u00e1rea con respecto al eje Y. Q<sub>x\u00a0<\/sub>= Primer momento de \u00e1rea con respecto al eje X.<\/p><p id=\"h.p_GAagIhBjWZqn\" class=\"CDt4Ke zfr3Q\">A = \u00c1rea de la figura.<\/p><p id=\"h.p_lYVT1GStWZqo\" class=\"CDt4Ke zfr3Q ahQMed\">\u1e8b = Distancia entre el eje Y y la figura.<\/p><p id=\"h.p_8wAqnQvnWZqo\" class=\"CDt4Ke zfr3Q ahQMed\">\u1e8f = Distancia entre el eje X y la figura.<\/p><p id=\"h.p_U4PG39bdWZqo\" class=\"CDt4Ke zfr3Q\">En caso de tener un \u00e1rea no convencional, es decir formada por varias figuras, se aplica la misma f\u00f3rmula para cada una de las figuras en el \u00e1rea.<\/p><p id=\"h.p_sQ8o-DNnWZqp\" class=\"CDt4Ke zfr3Q\">Para determinar la ubicaci\u00f3n del centroide de la figura solo se tiene que dividir los primeros momentos del \u00e1rea entre el \u00e1rea total de la figura, en el caso de una figura compuesta ser\u00e1 la suma de los primeros momentos del \u00e1rea entre la suma de las \u00e1reas de las figuras que forman la figura principal. Esta operaci\u00f3n se debe hacer dos veces una con el primer momento del eje X o la suma de estos, para determinar la coordenada en x y otra con el primer momento en Y o la suma de estos, para determinar la coordenada en y.<\/p><p id=\"h.p_sn94IYMtWalb\" class=\"CDt4Ke zfr3Q\"><em><strong>El primer momento de \u00e1rea es la distancia a la que se encuentra el cuerpo de cada una de los ejes principales o del origen.<\/strong><\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3cbd6a08 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3cbd6a08\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7aaf998f\" data-id=\"7aaf998f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-625506d0 elementor-widget elementor-widget-heading\" data-id=\"625506d0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Tabla de centroides y momentos de inercia.<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2ea50430 elementor-widget elementor-widget-image\" data-id=\"2ea50430\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"280\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/1-Tabla-de-centroides-y-momentos-de-inercia-1024x358.png\" class=\"attachment-large size-large wp-image-1133\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/1-Tabla-de-centroides-y-momentos-de-inercia-1024x358.png 1024w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/1-Tabla-de-centroides-y-momentos-de-inercia-300x105.png 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/1-Tabla-de-centroides-y-momentos-de-inercia-768x268.png 768w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/1-Tabla-de-centroides-y-momentos-de-inercia-600x210.png 600w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/1-Tabla-de-centroides-y-momentos-de-inercia.png 1476w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-70e18385 elementor-widget elementor-widget-image\" data-id=\"70e18385\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"250\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/2-Tabla-de-centroides-y-momentos-de-inercia-1024x320.png\" class=\"attachment-large size-large wp-image-1131\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/2-Tabla-de-centroides-y-momentos-de-inercia-1024x320.png 1024w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/2-Tabla-de-centroides-y-momentos-de-inercia-300x94.png 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/2-Tabla-de-centroides-y-momentos-de-inercia-768x240.png 768w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/2-Tabla-de-centroides-y-momentos-de-inercia-600x187.png 600w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/2-Tabla-de-centroides-y-momentos-de-inercia.png 1473w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fe5373e elementor-widget elementor-widget-image\" data-id=\"fe5373e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"280\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/3-Tabla-de-centroides-y-momentos-de-inercia-1024x359.png\" class=\"attachment-large size-large wp-image-1132\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/3-Tabla-de-centroides-y-momentos-de-inercia-1024x359.png 1024w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/3-Tabla-de-centroides-y-momentos-de-inercia-300x105.png 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/3-Tabla-de-centroides-y-momentos-de-inercia-768x270.png 768w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/3-Tabla-de-centroides-y-momentos-de-inercia-600x211.png 600w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/3-Tabla-de-centroides-y-momentos-de-inercia.png 1473w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-54aca7e elementor-widget elementor-widget-image\" data-id=\"54aca7e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"274\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/4-Tabla-de-centroides-y-momentos-de-inercia-1024x351.png\" class=\"attachment-large size-large wp-image-1134\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/4-Tabla-de-centroides-y-momentos-de-inercia-1024x351.png 1024w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/4-Tabla-de-centroides-y-momentos-de-inercia-300x103.png 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/4-Tabla-de-centroides-y-momentos-de-inercia-768x263.png 768w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/4-Tabla-de-centroides-y-momentos-de-inercia-600x205.png 600w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/4-Tabla-de-centroides-y-momentos-de-inercia.png 1475w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2dcf13b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2dcf13b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ee7aeca\" data-id=\"ee7aeca\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-89dd6d9 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"89dd6d9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-6deb755 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6deb755\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-8844ce1\" data-id=\"8844ce1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3029f2e elementor-widget elementor-widget-heading\" data-id=\"3029f2e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Ejemplo del uso de tabla para determinar el centroide<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9402205 elementor-widget elementor-widget-text-editor\" data-id=\"9402205\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>En el siguiente ejemplo se aprecia c\u00f3mo se determina el centroide de la placa homog\u00e9nea con espesor constante. Para esto se recurre al uso de la tabla de centroides y momentos de inercia publicada en esta p\u00e1gina.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-cada825\" data-id=\"cada825\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c7befae elementor-widget elementor-widget-video\" data-id=\"c7befae\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/2JDyWpZqv0A&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-2e619a2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2e619a2\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-425c7c9\" data-id=\"425c7c9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-04ffff0 elementor-widget elementor-widget-video\" data-id=\"04ffff0\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/kVAYINBUKrc&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-f9aea45\" data-id=\"f9aea45\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cab2423 elementor-widget elementor-widget-heading\" data-id=\"cab2423\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Ejemplo del c\u00e1lculo del centroide por medio de integrales<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c144b3e elementor-widget elementor-widget-text-editor\" data-id=\"c144b3e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>En el siguiente ejemplo c\u00f3mo la placa es homog\u00e9nea con espesor constante, el centroide y centro de masa se encuentran ubicados en el mismo punto. En este caso se determina las coordenadas de este punto por medio de integrales.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-18a312a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"18a312a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-b42d5da\" data-id=\"b42d5da\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cdb7df5 elementor-widget elementor-widget-heading\" data-id=\"cdb7df5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Ejemplo, c\u00f3mo calcular donde se concentra una carga distribuida<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-82672df elementor-widget elementor-widget-text-editor\" data-id=\"82672df\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>En el siguiente ejemplo se aprecia c\u00f3mo se calcula la ubicaci\u00f3n y valor de una fuerza concentrada generada por una carga distribuida utilizando centroides.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-b087741\" data-id=\"b087741\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d67366f elementor-widget elementor-widget-video\" data-id=\"d67366f\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/E0aBbGlsjrc&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-5d39d02 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5d39d02\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-f1a25ef\" data-id=\"f1a25ef\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7a06c8a elementor-widget elementor-widget-video\" data-id=\"7a06c8a\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/ZBmSkA9oRj0&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-d3e14a3\" data-id=\"d3e14a3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4440239 elementor-widget elementor-widget-heading\" data-id=\"4440239\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Ejemplo, fuerzas sobre superficies sumergidas<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dbecd2d elementor-widget elementor-widget-text-editor\" data-id=\"dbecd2d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>En el siguiente ejemplo se aprecia c\u00f3mo a trav\u00e9s del uso de centroides se calculan las fuerzas en diques y superficies sumergidas.\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1e308a3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1e308a3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-dd9f1a8\" data-id=\"dd9f1a8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-49f7431 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"49f7431\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-468505a elementor-widget elementor-widget-heading\" data-id=\"468505a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/clasesdemecanica.net\/index.php\/taller-momento-de-una-fuerza-con-respecto-a-un-punto\/\">Talleres de Centroides y centros de gravedad...<\/a><\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-cfd9c38 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cfd9c38\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-88a6c00\" data-id=\"88a6c00\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bab33ff elementor-widget elementor-widget-text-editor\" data-id=\"bab33ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><a href=\"https:\/\/clasesdemecanica.net\/index.php\/taller-centroides-centros-de-gravedad\/\">En este taller encontrar\u00e1n una serie de ejercicios m\u00ednimos para practicar el tema de\u00a0<b>centroides y centros de gravedad.<\/b><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-8af0eb7\" data-id=\"8af0eb7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c66da1e elementor-align-center elementor-widget elementor-widget-button\" data-id=\"c66da1e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/clasesdemecanica.net\/index.php\/taller-centroides-centros-de-gravedad\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-bell\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Haz clic aqu\u00ed<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6d0215bb elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6d0215bb\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e85da56\" data-id=\"e85da56\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-281bb58 elementor-widget elementor-widget-spacer\" data-id=\"281bb58\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-24d39408 elementor-widget elementor-widget-heading\" data-id=\"24d39408\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Ejercicios Resueltos<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7396d8a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7396d8a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-372104e\" data-id=\"372104e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7c45f67 elementor-widget elementor-widget-heading\" data-id=\"7c45f67\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/clasesdemecanica.net\/index.php\/ejercicios-resueltos-estudiantes-cap5-bj-9ed\/\">Mec\u00e1nica Vectorial - Beer &amp; Jhonston 9na Ed.<\/a><\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-65d4b65 elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"65d4b65\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-2d4ecc6\" data-id=\"2d4ecc6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1ffefaa elementor-widget elementor-widget-text-editor\" data-id=\"1ffefaa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><a href=\"https:\/\/clasesdemecanica.net\/index.php\/ejercicios-resueltos-estudiantes-cap5-bj-9ed\/\">Ejercicios resueltos\u00a0<strong>Cap\u00edtulo V: \u00abFuerzas distribuidas: centroides y centros de gravedad\u00bb\u00a0<\/strong><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-6395b2a\" data-id=\"6395b2a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8e7fb1e elementor-widget elementor-widget-image\" data-id=\"8e7fb1e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/clasesdemecanica.net\/index.php\/ejercicios-resueltos-estudiantes-cap5-bj-9ed\/\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"692\" height=\"838\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/03\/CAP-V-BJ-9Ed.jpg\" class=\"attachment-full size-full wp-image-2221\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/03\/CAP-V-BJ-9Ed.jpg 692w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/03\/CAP-V-BJ-9Ed-248x300.jpg 248w\" sizes=\"(max-width: 692px) 100vw, 692px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5ca97d6\" data-id=\"5ca97d6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-38a8fbd elementor-widget elementor-widget-heading\" data-id=\"38a8fbd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/clasesdemecanica.net\/index.php\/estatica-bj-11ed-cap-5-centroides-y-centros-de-gravedad\/\">Mec\u00e1nica Vectorial - Beer &amp; Jhonston 11ma Ed.<\/a><\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-fa67d33 elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fa67d33\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-dd18263\" data-id=\"dd18263\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7ef7c8b elementor-widget elementor-widget-text-editor\" data-id=\"7ef7c8b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><a href=\"https:\/\/clasesdemecanica.net\/index.php\/estatica-bj-11ed-cap-5-centroides-y-centros-de-gravedad\/\" data-wplink-edit=\"true\">Ejercicios resueltos\u00a0<strong>Cap\u00edtulo V: \u00abFuerzas distribuidas: centroides y centros de gravedad\u00bb\u00a0<\/strong><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-da1adef\" data-id=\"da1adef\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8781504 elementor-widget elementor-widget-image\" data-id=\"8781504\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/clasesdemecanica.net\/index.php\/estatica-bj-11ed-cap-5-centroides-y-centros-de-gravedad\/\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"666\" height=\"835\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/06\/CAP-V-BJ-11Ed.jpg\" class=\"attachment-full size-full wp-image-4427\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/06\/CAP-V-BJ-11Ed.jpg 666w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/06\/CAP-V-BJ-11Ed-239x300.jpg 239w\" sizes=\"(max-width: 666px) 100vw, 666px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-bdbd29c\" data-id=\"bdbd29c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eb7d31a elementor-widget elementor-widget-heading\" data-id=\"eb7d31a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Ing. Mec\u00e1nica ESTATICA - Hibbeler 14ta Ed<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-97c3078 elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"97c3078\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-b0015f9\" data-id=\"b0015f9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4254b6c elementor-widget elementor-widget-text-editor\" data-id=\"4254b6c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\">Ejercicios resueltos <strong>Cap\u00edtulo IX: Centro de gravedad y centroide.<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-c416f66\" data-id=\"c416f66\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-424beb8 elementor-widget elementor-widget-image\" data-id=\"424beb8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"515\" height=\"732\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/03\/CAP-IX-H-14Ed-1.jpg\" class=\"attachment-full size-full wp-image-2225\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/03\/CAP-IX-H-14Ed-1.jpg 515w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/03\/CAP-IX-H-14Ed-1-211x300.jpg 211w\" sizes=\"(max-width: 515px) 100vw, 515px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5519216b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5519216b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-19182720\" data-id=\"19182720\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6e2c605 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"6e2c605\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-25ff4b12 elementor-widget elementor-widget-heading\" data-id=\"25ff4b12\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Libros completos<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-5d896d7e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5d896d7e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-3441ce24\" data-id=\"3441ce24\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5900c6e elementor-widget elementor-widget-shortcode\" data-id=\"5900c6e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><a href=\"https:\/\/www.amazon.com\/-\/es\/Johnston\/dp\/1456255274?crid=2DGP35H7CLTVI&keywords=mecanica+vectorial+para+ingenieros&qid=1649084932&sprefix=mecanica+vecto%2Caps%2C141&sr=8-1&linkCode=li1&tag=clasesdemecan-20&linkId=137695ad24d9b1a55e1e235e9ade78b1&language=es_US&ref_=as_li_ss_il\" target=\"_blank\"><img decoding=\"async\" border=\"0\" src=\"\/\/ws-na.amazon-adsystem.com\/widgets\/q?_encoding=UTF8&ASIN=1456255274&Format=_SL110_&ID=AsinImage&MarketPlace=US&ServiceVersion=20070822&WS=1&tag=clasesdemecan-20&language=es_US\" ><\/a><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ir-na.amazon-adsystem.com\/e\/ir?t=clasesdemecan-20&language=es_US&l=li1&o=1&a=1456255274\" width=\"1\" height=\"1\" border=\"0\" alt=\"\" style=\"border:none !important; margin:0px !important;\" \/><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2d3a4c1f\" data-id=\"2d3a4c1f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b8d99a1 elementor-widget elementor-widget-heading\" data-id=\"b8d99a1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/amzn.to\/3LGCrrm\">Mec\u00e1nica Vectorial para Ingenieros: ESTATICA - Beer &amp; Jhonston - 11 Ed.<\/a><\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-45b43ee3\" data-id=\"45b43ee3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a664a20 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"a664a20\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/amzn.to\/3LGCrrm\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">COMPRAR<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-720ff8dc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"720ff8dc\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6007fbea\" data-id=\"6007fbea\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5954d0ac elementor-widget elementor-widget-shortcode\" data-id=\"5954d0ac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><a href=\"https:\/\/www.amazon.com\/James-L-Meriam\/dp\/1119723515?pd_rd_w=iF43s&pf_rd_p=afb460dc-fa69-4440-8ffa-68f8a04f70ba&pf_rd_r=RZTRJBN0NVAA67KDTGQ8&pd_rd_r=e00d4c7a-c2aa-4ce0-8c51-5d31fbf049cf&pd_rd_wg=3dyaU&pd_rd_i=1119723515&psc=1&linkCode=li2&tag=clasesdemecan-20&linkId=0c829a0dbd9d5f43df993424d48a44e2&language=es_US&ref_=as_li_ss_il\" target=\"_blank\"><img decoding=\"async\" border=\"0\" src=\"\/\/ws-na.amazon-adsystem.com\/widgets\/q?_encoding=UTF8&ASIN=1119723515&Format=_SL160_&ID=AsinImage&MarketPlace=US&ServiceVersion=20070822&WS=1&tag=clasesdemecan-20&language=es_US\" ><\/a><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ir-na.amazon-adsystem.com\/e\/ir?t=clasesdemecan-20&language=es_US&l=li2&o=1&a=1119723515\" width=\"1\" height=\"1\" border=\"0\" alt=\"\" style=\"border:none !important; margin:0px !important;\" \/><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-771f9a26\" data-id=\"771f9a26\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cc1814e elementor-widget elementor-widget-heading\" data-id=\"cc1814e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/amzn.to\/3MVcswW\">Engineering Mechanics: Statics  - James L. Meriam, L. G. Kraige, J. N. Bolton - 9th Edici\u00f3n<\/a><\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6d6193df\" data-id=\"6d6193df\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2b4b43c1 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"2b4b43c1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/amzn.to\/3MVcswW\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">COMPRAR<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-7022f06d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7022f06d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-597af4d3\" data-id=\"597af4d3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-257a5991 elementor-widget elementor-widget-shortcode\" data-id=\"257a5991\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><a href=\"https:\/\/www.amazon.com\/-\/es\/Andrew-Pytel-dp-0495244694\/dp\/0495244694?_encoding=UTF8&me=&qid=1652192332&linkCode=li2&tag=clasesdemecan-20&linkId=4cec785bd03cccdb3ae034438109e484&language=es_US&ref_=as_li_ss_il\" target=\"_blank\"><img decoding=\"async\" border=\"0\" src=\"\/\/ws-na.amazon-adsystem.com\/widgets\/q?_encoding=UTF8&ASIN=0495244694&Format=_SL160_&ID=AsinImage&MarketPlace=US&ServiceVersion=20070822&WS=1&tag=clasesdemecan-20&language=es_US\" ><\/a><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ir-na.amazon-adsystem.com\/e\/ir?t=clasesdemecan-20&language=es_US&l=li2&o=1&a=0495244694\" width=\"1\" height=\"1\" border=\"0\" alt=\"\" style=\"border:none !important; margin:0px !important;\" \/><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-15224fd5\" data-id=\"15224fd5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-53163fba elementor-widget elementor-widget-heading\" data-id=\"53163fba\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/amzn.to\/3weBAbj\">Engineering Mechanics: Statics  - Andrew Pytel, Jaan Kiusalaas - 3rd Edici\u00f3n<\/a><\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6ca39cdd\" data-id=\"6ca39cdd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2601af3a elementor-align-center elementor-widget elementor-widget-button\" data-id=\"2601af3a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/amzn.to\/3weBAbj\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">COMPRAR<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-3b0345bc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3b0345bc\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-1925610a\" data-id=\"1925610a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-79821a78 elementor-widget elementor-widget-shortcode\" data-id=\"79821a78\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><a href=\"https:\/\/www.amazon.com\/-\/es\/Russell-C-Hibbeler\/dp\/0136077900?__mk_es_US=%C3%85M%C3%85%C5%BD%C3%95%C3%91&crid=2AV7MPTAYQ2MM&keywords=hibbeler&qid=1657813476&sprefix=hibbeler%2Caps%2C110&sr=8-8&linkCode=li2&tag=clasesdemecan-20&linkId=17fb2334ec22369b7ce74bc5d11a4484&language=es_US&ref_=as_li_ss_il\" target=\"_blank\"><img decoding=\"async\" border=\"0\" src=\"\/\/ws-na.amazon-adsystem.com\/widgets\/q?_encoding=UTF8&ASIN=0136077900&Format=_SL160_&ID=AsinImage&MarketPlace=US&ServiceVersion=20070822&WS=1&tag=clasesdemecan-20&language=es_US\" ><\/a><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ir-na.amazon-adsystem.com\/e\/ir?t=clasesdemecan-20&language=es_US&l=li2&o=1&a=0136077900\" width=\"1\" height=\"1\" border=\"0\" alt=\"\" style=\"border:none !important; margin:0px !important;\" \/><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-1e9f83c0\" data-id=\"1e9f83c0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-53595d34 elementor-widget elementor-widget-heading\" data-id=\"53595d34\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/amzn.to\/3RByuI0\">Engineering Mechanics: Statics  - R.C. Hibbeler  - 12 Edici\u00f3n<\/a><\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-7335576\" data-id=\"7335576\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-48fc3b7a elementor-align-center elementor-widget elementor-widget-button\" data-id=\"48fc3b7a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/amzn.to\/3RByuI0\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">COMPRAR<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-2babe25a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2babe25a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-13633ffd\" data-id=\"13633ffd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1a9d32e8 elementor-widget elementor-widget-shortcode\" data-id=\"1a9d32e8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><a href=\"https:\/\/www.amazon.com\/-\/es\/Ferdinand-Beer\/dp\/1456260863?__mk_es_US=%C3%85M%C3%85%C5%BD%C3%95%C3%91&crid=2I7HOCEUW0WVT&keywords=mecanica+de+materiales+libro+beer&qid=1649211173&s=books&sprefix=mecanica+de+materiales+libro+beer%2Cstripbooks-intl-ship%2C147&sr=1-1&linkCode=li1&tag=clasesdemecan-20&linkId=61cb9e7b1fd42dacba1b5e19c8a793df&language=es_US&ref_=as_li_ss_il\" target=\"_blank\"><img decoding=\"async\" border=\"0\" src=\"\/\/ws-na.amazon-adsystem.com\/widgets\/q?_encoding=UTF8&ASIN=1456260863&Format=_SL110_&ID=AsinImage&MarketPlace=US&ServiceVersion=20070822&WS=1&tag=clasesdemecan-20&language=es_US\" ><\/a><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ir-na.amazon-adsystem.com\/e\/ir?t=clasesdemecan-20&language=es_US&l=li1&o=1&a=1456260863\" width=\"1\" height=\"1\" border=\"0\" alt=\"\" style=\"border:none !important; margin:0px !important;\" \/><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-53d494ad\" data-id=\"53d494ad\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-513c130e elementor-widget elementor-widget-heading\" data-id=\"513c130e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/amzn.to\/3jen2lC\">Mec\u00e1nica de Materiales  - Beer, Jhonston, DeWolf &amp; Mazurek - 7 Ed.<\/a><\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-46456817\" data-id=\"46456817\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-67405b65 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"67405b65\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/amzn.to\/3jen2lC\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">COMPRAR<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>CENTROIDES Y CENTROS DE GRAVEDAD CENTROIDS AND CENTERS OF GRAVITY \u00bfQU\u00c9 ES UN CENTROIDE? En geometr\u00eda, el centroide o baricentro de un objeto X perteneciente a un espacio n-dimensional es la intersecci\u00f3n de todos los hiperplanos que dividen a X en dos partes de igual n-volumen con respecto al hiperplano. Informalmente, es el promedio de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1203","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/pages\/1203","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/comments?post=1203"}],"version-history":[{"count":25,"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/pages\/1203\/revisions"}],"predecessor-version":[{"id":4835,"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/pages\/1203\/revisions\/4835"}],"wp:attachment":[{"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/media?parent=1203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}