{"id":33635,"date":"2024-02-14T21:45:51","date_gmt":"2024-02-14T21:45:51","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=33635"},"modified":"2024-05-16T16:03:28","modified_gmt":"2024-05-16T16:03:28","slug":"clase-digital-5-centroides","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-5-centroides\/","title":{"rendered":"Clase digital 5. Centroides"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n\n\n<div class=\"wp-block-cover is-light\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-33733\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Centroides.png\" data-object-fit=\"cover\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1500\" height=\"700\" class=\"wp-block-cover__image-background wp-image-33733\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Centroides.png\" data-object-fit=\"cover\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Centroides.png 1500w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Centroides-300x140.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Centroides-1024x478.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Centroides-768x358.png 768w\" sizes=\"auto, (max-width: 1500px) 100vw, 1500px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\"><br>Centroides<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Presentaci\u00f3n del tema<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Bienvenidos nuevamente a la quinta clase digital, hemos hecho ejemplos en los que el peso de un cuerpo se aplicaba en el centro de gravedad, pero ya nos lo indicaba el problema o solamente se pon\u00edan cuerpos sim\u00e9tricos y era f\u00e1cil determinar el centro de gravedad en el eje de simetr\u00eda. Ahora en esta secci\u00f3n determinaremos el centro de gravedad de placas bidimensionales compuesta de varias formas, empezando por placas y alambres y terminando con la definici\u00f3n del primer momento&nbsp; un \u00e1rea o una l\u00ednea con respecto de un eje. Aunque este tema se vio en c\u00e1lculo integral lo repasamos porque es muy importante para los mineros determinar el centro de gravedad de cuerpos r\u00edgidos no uniformes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Objetivo did\u00e1ctico de la clase<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Localizaci\u00f3n de centroides de \u00e1reas compuestas y l\u00edneas homog\u00e9neas.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.37.33.png\" alt=\"\" class=\"wp-image-33730\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"927\" height=\"50\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.37.33.png\" alt=\"\" class=\"wp-image-33730\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.37.33.png 927w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.37.33-300x16.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.37.33-768x41.png 768w\" sizes=\"auto, (max-width: 927px) 100vw, 927px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Ecuaciones de los primeros momentos de \u00e1reas<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Deducci\u00f3n de los centroides por integraci\u00f3n: por medio de la sumatoria de los momentos de \u00e1rea de todos&nbsp; elementos con respecto a cada eje:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.38.30.png\" alt=\"\" class=\"wp-image-33731\" style=\"width:936px;height:auto\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"936\" height=\"46\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.38.30.png\" alt=\"\" class=\"wp-image-33731\" style=\"width:936px;height:auto\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.38.30.png 936w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.38.30-300x15.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/Captura-de-Pantalla-2024-01-30-a-las-10.38.30-768x38.png 768w\" sizes=\"auto, (max-width: 936px) 100vw, 936px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Problemas de centroides de \u00e1reas y l\u00edneas<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"conclusion\">Contenido did\u00e1ctico<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A continuaci\u00f3n, se presenta el contenido did\u00e1ctico de acceso abierto o institucional para profundizar en el tema.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">No.<\/th><th class=\"has-text-align-center\" data-align=\"center\">Nombre del recurso<\/th><th class=\"has-text-align-center\" data-align=\"center\">Sinopsis<\/th><th class=\"has-text-align-center\" data-align=\"center\">Tipo de recurso<\/th><th class=\"has-text-align-center\" data-align=\"center\">Enlace Web<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">Centro de gravedad de un cuerpo bidimensional<\/td><td class=\"has-text-align-center\" data-align=\"center\">Introducci\u00f3n, centroides de placas y l\u00edneas homog\u00e9neas bidimensionales, primeros momentos de \u00e1reas y l\u00edneas, centroides de placas y alambres compuestos y problemas resueltos<\/td><td class=\"has-text-align-center\" data-align=\"center\">Video<\/td><td class=\"has-text-align-center\" data-align=\"center\">[<a href=\"https:\/\/ugtomx.sharepoint.com\/:v:\/s\/MECANICAANALTCA21-2\/EZnukDD0BjxCn8uOQySFe78BgCzvO7SpVB4RJt_BifdarQ?e=gcpFFY&amp;nav=eyJyZWZlcnJhbEluZm8iOnsicmVmZXJyYWxBcHAiOiJTdHJlYW1XZWJBcHAiLCJyZWZlcnJhbFZpZXciOiJTaGFyZURpYWxvZyIsInJlZmVycmFsQXBwUGxhdGZvcm0iOiJXZWIiLCJyZWZlcnJhbE1vZGUiOiJ2aWV3In19\" target=\"_blank\" rel=\"noreferrer noopener\">Acceder<\/a>]<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">Determinaci\u00f3n de centroides por integraci\u00f3n<\/td><td class=\"has-text-align-center\" data-align=\"center\">Centroide de un \u00e1rea limitada por curvas anal\u00edticas<\/td><td class=\"has-text-align-center\" data-align=\"center\">Video<\/td><td class=\"has-text-align-center\" data-align=\"center\">[<a href=\"https:\/\/ugtomx.sharepoint.com\/sites\/MECNICAANALTICA21\/_layouts\/15\/stream.aspx?id=%2Fsites%2FMECNICAANALTICA21%2FMateriales%20de%20clase%2Fcentroie%20baja%2Emp4&amp;ga=1&amp;referrer=StreamWebApp%2EWeb&amp;referrerScenario=AddressBarCopied%2Eview%2E6dde7f5a%2D5fe2%2D4738%2D9534%2Dea811f4eeceb\" target=\"_blank\" rel=\"noreferrer noopener\">Acceder<\/a>]<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Material did\u00e1ctico complementario<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">No.<\/th><th class=\"has-text-align-center\" data-align=\"center\">Nombre del recurso<\/th><th class=\"has-text-align-center\" data-align=\"center\">Sinopsis<\/th><th class=\"has-text-align-center\" data-align=\"center\">Tipo de recurso<\/th><th class=\"has-text-align-center\" data-align=\"center\">Enlace Web<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">Centroide, centro de masa y centro de gravedad<\/td><td class=\"has-text-align-center\" data-align=\"center\">Explica la diferencia entre, centroide, centro de masa y centro de gravedad.<\/td><td class=\"has-text-align-center\" data-align=\"center\">Video<\/td><td class=\"has-text-align-center\" data-align=\"center\">[<a href=\"https:\/\/www.youtube.com\/watch?v=F1f68Rp26RE&amp;t=604s\" target=\"_blank\" rel=\"noreferrer noopener\">Acceder<\/a>]<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">Center of Mass: Person on a Floating Raft<\/td><td class=\"has-text-align-center\" data-align=\"center\">Se observa c\u00f3mo se desplaza el centro de gravedad cuando persona caminaba sobre una plataforma flotante<\/td><td class=\"has-text-align-center\" data-align=\"center\">P\u00e1gina web<\/td><td class=\"has-text-align-center\" data-align=\"center\">[<a href=\"https:\/\/ophysics.com\/e6.html\" target=\"_blank\" rel=\"noreferrer noopener\">Acceder<\/a>]<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Resumen e ideas relevantes de la clase digital<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Determina los centroides de gravedad de cuerpos bidimensionales de \u00e1rea y l\u00edneas, determinaci\u00f3n del centro de gravedad de cuerpos compuestos y por integraci\u00f3n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Presentaci\u00f3n del tema Bienvenidos nuevamente a la quinta clase digital, hemos hecho ejemplos en los que el peso de un cuerpo se aplicaba en el centro de gravedad, pero ya nos lo indicaba el problema o solamente se pon\u00edan cuerpos sim\u00e9tricos y era f\u00e1cil determinar el centro de gravedad en el eje de simetr\u00eda. Ahora &#8230; <a title=\"Clase digital 5. Centroides\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-5-centroides\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 5. Centroides\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[871,872],"tags":[41,891,892],"class_list":["post-33635","post","type-post","status-publish","format-standard","hentry","category-licenciatura-en-minas","category-uda-mecanica-analitica-licenciatura-en-minas","tag-clase-digital","tag-dulce-maria-esquivel-gomez","tag-iili05108"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/33635","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/comments?post=33635"}],"version-history":[{"count":6,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/33635\/revisions"}],"predecessor-version":[{"id":34852,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/33635\/revisions\/34852"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=33635"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=33635"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=33635"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}