{"id":35,"date":"2023-06-27T01:24:14","date_gmt":"2023-06-27T01:24:14","guid":{"rendered":"https:\/\/physigeek.com\/ru\/%d1%86%d0%b5%d0%bd%d1%82%d1%80-%d0%b3%d1%80%d0%b0%d0%b2%d0%b8%d1%82%d0%b0%d1%86%d0%b8%d0%b8\/"},"modified":"2023-06-27T01:24:14","modified_gmt":"2023-06-27T01:24:14","slug":"%d1%86%d0%b5%d0%bd%d1%82%d1%80-%d0%b3%d1%80%d0%b0%d0%b2%d0%b8%d1%82%d0%b0%d1%86%d0%b8%d0%b8","status":"publish","type":"post","link":"https:\/\/physigeek.com\/ru\/%d1%86%d0%b5%d0%bd%d1%82%d1%80-%d0%b3%d1%80%d0%b0%d0%b2%d0%b8%d1%82%d0%b0%d1%86%d0%b8%d0%b8\/","title":{"rendered":"\u0426\u0435\u043d\u0442\u0440 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u0438"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u0435\u0433\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0438 \u043a\u0430\u043a\u043e\u0432\u044b \u0435\u0433\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435 \u0441\u0445\u043e\u0434\u0441\u0442\u0432\u0430 \u0438 \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043c\u0430\u0441\u0441 \u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0446\u0435\u043d\u0442\u0440\u043e\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-centro-de-gravedad\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0426\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438<\/strong> \u0442\u0435\u043b\u0430 \u0438\u043b\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u2014 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u0443\u044e, \u043a\u0430\u043a \u0441\u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f, \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u0441\u044f \u0441\u0438\u043b\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u044e\u0449\u0430\u044f \u043d\u0430 \u043c\u0430\u0441\u0441\u0443 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0433\u043e \u0442\u0435\u043b\u0430 \u0438\u043b\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b.<\/p>\n<p> \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0442\u0435\u043b\u0430 \u2014 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0441\u0438\u043b\u044b \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u0417\u0435\u043c\u043b\u044f \u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u044d\u0442\u043e \u0442\u0435\u043b\u043e.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0441\u0444\u0435\u0440\u044b \u2014 \u044d\u0442\u043e \u0446\u0435\u043d\u0442\u0440 \u0441\u0444\u0435\u0440\u044b. \u042d\u0442\u043e \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u0430\u0441\u0441\u0430 \u0441\u0444\u0435\u0440\u044b \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e \u043f\u043e \u0432\u0441\u0435\u043c\u0443 \u0442\u0435\u043b\u0443, \u043d\u043e \u0438\u043d\u043e\u0433\u0434\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u0440\u0430\u0441\u0447\u0435\u0442 \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0442\u0435\u043b\u0430, \u043a\u0430\u043a \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043d\u0438\u0436\u0435.<\/p>\n<p> \u0412 \u0444\u0438\u0437\u0438\u043a\u0435 \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0447\u0430\u0441\u0442\u043e \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442 \u0441\u043e\u043a\u0440\u0430\u0449\u0435\u043d\u043d\u043e CDG \u0438\u043b\u0438 CDG. \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0435\u0449\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f \u0438\u043b\u0438 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f.<\/p>\n<p> \u041a\u0430\u043a \u0432\u044b \u043f\u043e\u043d\u0438\u043c\u0430\u0435\u0442\u0435, \u0437\u043d\u0430\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u0433\u0434\u0435 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b, \u043e\u0447\u0435\u043d\u044c \u0432\u0430\u0436\u043d\u043e, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432 \u0442\u0435\u0445\u043d\u0438\u043a\u0435, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e \u0438\u0437\u0443\u0447\u0438\u0442\u044c \u0431\u0430\u043b\u0430\u043d\u0441 \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-calcular-el-centro-de-gravedad\"><\/span> \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b<\/strong> , \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043d\u0430\u0439\u0442\u0438 \u0441\u0443\u043c\u043c\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0439 \u043a\u0430\u0436\u0434\u043e\u0439 \u043c\u0430\u0441\u0441\u044b \u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0435 \u043d\u0430 \u0435\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043e\u0442 \u043e\u043f\u043e\u0440\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0438, \u0430 \u0437\u0430\u0442\u0435\u043c \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043d\u0430 \u0441\u0443\u043c\u043c\u0443 \u0432\u0441\u0435\u0445 \u043c\u0430\u0441\u0441.<\/p>\n<p> \u0412\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u044d\u0442\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u0432\u0430\u0436\u0434\u044b: \u043e\u0434\u0438\u043d \u0440\u0430\u0437, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 X \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u0438 \u0434\u0440\u0443\u0433\u043e\u0439, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 Y. \u0418\u0442\u0430\u043a, \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-3 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-881732a8a4b902f9d56d505b8b34e2eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"CDG_x=\\cfrac{\\sum m_i\\cdot x_i}{\\sum m_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"152\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-046d8b6e491e055221740d6a5d8c4a1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"CDG_y=\\cfrac{\\sum m_i\\cdot y_i}{\\sum m_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"150\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u041b\u043e\u0433\u0438\u0447\u043d\u043e, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u0432\u044b \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442\u0435 \u0432 \u0442\u0440\u0435\u0445 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u0445, \u0432\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u043e\u0432\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0442\u0443 \u0436\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0434\u043b\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-del-centro-de-gravedad\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u043d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043e \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043f\u043e\u043c\u043e\u0436\u0435\u0442 \u0432\u0430\u043c \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b.<\/p>\n<ul>\n<li> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0441 \u0447\u0435\u0442\u044b\u0440\u044c\u043c\u044f \u043e\u0431\u044a\u0435\u043a\u0442\u0430\u043c\u0438 \u0440\u0430\u0437\u043d\u043e\u0439 \u043c\u0430\u0441\u0441\u044b, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b. <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/centre-de-gravite-centre-de-masse-exercice-resolu.png\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0441 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0442\u044f\u0436\u0435\u0441\u0442\u0438\" class=\"wp-image-585\" width=\"410\" height=\"288\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/centre-de-gravite-centre-de-masse-exercice-resolu-300x212.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/centre-de-gravite-centre-de-masse-exercice-resolu.png 728w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<\/div>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0447\u0435\u0442\u044b\u0440\u0435 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0444\u0438\u0433\u0443\u0440\u044b \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u0437\u044f\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430 \u043a\u0430\u0436\u0434\u043e\u0439 \u0444\u0438\u0433\u0443\u0440\u044b.<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 X \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ab4ab958998ab401b3facce7064be29b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} CDG_x&amp; =\\cfrac{\\sum m_i\\cdot x_i}{\\sum m_i}\\\\[2ex] CDG_x&amp;=\\cfrac{2\\cdot 5+4\\cdot 4+5\\cdot 6+ 9\\cdot 11}{2+4+5+9}\\\\[2ex] CDG_x&amp;= 7.75\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"148\" width=\"273\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0410 \u0437\u0430\u0442\u0435\u043c \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 Y \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u043f\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0439 \u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fe1cace8d53d430ec4e7cc550fc7ee74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} CDG_y&amp; =\\cfrac{\\sum m_i\\cdot y_i}{\\sum m_i}\\\\[2ex] CDG_y&amp;=\\cfrac{2\\cdot 8+4\\cdot 5+5\\cdot 2+ 9\\cdot 6}{2+4+5+9}\\\\[2ex] CDG_y&amp;= 5\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"265\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u0436\u043d\u043e \u0441\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0432\u0441\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-14bae1047b3fa1dcff4e5c8be97514fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"CDG=(7,75\\ , \\ 5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"143\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Centro-de-gravedad-y-centro-de-masa\"><\/span> \u0426\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0438 \u0446\u0435\u043d\u0442\u0440 \u043c\u0430\u0441\u0441<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0420\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0438 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043c\u0430\u0441\u0441\u044b<\/strong> \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u2014 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0441\u0438\u043b\u044b \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u0430 \u0446\u0435\u043d\u0442\u0440 \u043c\u0430\u0441\u0441 \u2014 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0445 \u0432\u043d\u0435\u0448\u043d\u0438\u0445 \u0441\u0438\u043b.<\/p>\n<p> \u0422\u043e \u0435\u0441\u0442\u044c \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u2014 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u0438\u043b\u0430, \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u044e\u0449\u0430\u044f \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0437\u0430\u043c\u0435\u043d\u044b \u0432\u0441\u0435\u0445 \u0441\u0438\u043b \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0435, \u0430 \u0446\u0435\u043d\u0442\u0440 \u043c\u0430\u0441\u0441 \u2014 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u0435\u0442 \u0440\u0430\u0432\u043d\u043e\u0434\u0435\u0439\u0441\u0442\u0432\u0443\u044e\u0449\u0430\u044f \u0441\u0438\u043b\u0430. \u0432\u0441\u0435 \u0441\u0438\u043b\u044b, \u0432\u043d\u0435\u0448\u043d\u0438\u0435 \u043f\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043a \u0441\u0438\u0441\u0442\u0435\u043c\u0435.<\/p>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e \u043a\u043e\u0433\u0434\u0430 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u043e\u043d\u043d\u043e\u0435 \u043f\u043e\u043b\u0435 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u043e, \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0435\u0442 \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043c\u0430\u0441\u0441. \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u044f \u043d\u0430 \u0417\u0435\u043c\u043b\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u0430, \u0434\u043b\u044f \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0446\u0435\u043b\u0435\u0439 \u0446\u0435\u043d\u0442\u0440 \u043c\u0430\u0441\u0441 \u0438 \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0441\u0447\u0438\u0442\u0430\u044e\u0442\u0441\u044f \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0442\u043e\u0447\u043a\u043e\u0439. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Centro-de-gravedad-y-centro-geometrico\"><\/span> \u0426\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440<\/strong> \u2013 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u0432 \u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0435 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0438\u0433\u0443\u0440\u044b. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u2014 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0435\u0433\u043e \u043e\u0441\u0435\u0439 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438.<\/p>\n<p> \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u0442\u0435\u043b\u0430 \u0438\u043b\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0435\u0442 \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043c\u0430\u0441\u0441, \u0430 \u0437\u043d\u0430\u0447\u0438\u0442, \u0438 \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u043a\u043e\u0433\u0434\u0430 \u0442\u0435\u043b\u043e \u0438\u043c\u0435\u0435\u0442 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u0443\u044e \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u044c \u0438\u043b\u0438 \u043a\u043e\u0433\u0434\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u0430\u0441\u0441 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e.<\/p>\n<p> \u0421\u043b\u0435\u0434\u0443\u044f \u0442\u043e\u043c\u0443 \u0436\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0443, \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u2014 \u044d\u0442\u043e \u0435\u0433\u043e \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0438 \u0446\u0435\u043d\u0442\u0440 \u043c\u0430\u0441\u0441. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-del-centro-de-gravedad\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0426\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0442\u0435\u043b\u0430 \u043e\u0431\u043b\u0430\u0434\u0430\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c\u0438:<\/p>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u043e\u043d\u043d\u043e\u0435 \u043f\u043e\u043b\u0435 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u043e, \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u0446\u0435\u043d\u0442\u0440\u0443 \u043c\u0430\u0441\u0441.<\/li>\n<\/ul>\n<ul>\n<li> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0438 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0446\u0435\u043d\u0442\u0440\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0442\u0435\u043b\u0430 \u043c\u043e\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0446\u0435\u043d\u0442\u0440\u0430 \u043c\u0430\u0441\u0441, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0430:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b226b193f321aa3a4365556458d3c5a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle CDG=\\frac{1}{M}\\int_V r\\rho (r)dV\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"180\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0412\u0441\u0435 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0441\u0438\u043b\u044b, \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u043d\u0430 \u0447\u0430\u0441\u0442\u0438\u0446\u044b \u0441\u0438\u0441\u0442\u0435\u043c\u044b, \u043c\u043e\u0436\u043d\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u044c \u043e\u0434\u043d\u043e\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0438\u0440\u0443\u044e\u0449\u0435\u0439 \u0441\u0438\u043b\u043e\u0439 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u043e\u0439 M\u00b7g (\u0432\u0435\u0441 \u0432\u0441\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b) \u0438 \u0441 \u0442\u043e\u0447\u043a\u043e\u0439 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0432 \u0446\u0435\u043d\u0442\u0440\u0435 \u0442\u044f\u0436\u0435\u0441\u0442\u0438.<\/li>\n<\/ul>\n<ul>\n<li> \u041b\u044e\u0431\u043e\u0439 \u043f\u0440\u0435\u0434\u043c\u0435\u0442, \u043b\u0435\u0436\u0430\u0449\u0438\u0439 \u043d\u0430 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u043c \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0438, \u0431\u0443\u0434\u0435\u0442 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u044c\u0441\u044f \u0432 \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u0438, \u0435\u0441\u043b\u0438 \u0432\u043e\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u043c\u0430\u044f \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0430\u044f \u0447\u0435\u0440\u0435\u0437 \u0435\u0433\u043e \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u0435\u0433\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0438 \u043a\u0430\u043a\u043e\u0432\u044b \u0435\u0433\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435 \u0441\u0445\u043e\u0434\u0441\u0442\u0432\u0430 \u0438 \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043c\u0430\u0441\u0441 \u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0446\u0435\u043d\u0442\u0440\u043e\u043c. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0446\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438? \u0426\u0435\u043d\u0442\u0440 \u0442\u044f\u0436\u0435\u0441\u0442\u0438 \u0442\u0435\u043b\u0430 \u0438\u043b\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u2014 \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u0443\u044e, \u043a\u0430\u043a \u0441\u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f, \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u0441\u044f \u0441\u0438\u043b\u0430 \u0442\u044f\u0436\u0435\u0441\u0442\u0438, \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u044e\u0449\u0430\u044f \u043d\u0430 \u043c\u0430\u0441\u0441\u0443 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0433\u043e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/ru\/%d1%86%d0%b5%d0%bd%d1%82%d1%80-%d0%b3%d1%80%d0%b0%d0%b2%d0%b8%d1%82%d0%b0%d1%86%d0%b8%d0%b8\/\"> <span class=\"screen-reader-text\">\u0426\u0435\u043d\u0442\u0440 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u0438<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[5],"tags":[],"class_list":["post-35","post","type-post","status-publish","format-standard","hentry","category-5"],"yoast_head":"<!-- This site is optimized 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