{"id":28543,"date":"2024-09-16T15:44:15","date_gmt":"2024-09-16T15:44:15","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28543"},"modified":"2024-09-16T15:44:15","modified_gmt":"2024-09-16T15:44:15","slug":"%d9%82%d9%88%d8%a7%d9%86%d9%8a%d9%86-%d9%86%d9%8a%d9%88%d8%aa%d9%86","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ar\/%d9%82%d9%88%d8%a7%d9%86%d9%8a%d9%86-%d9%86%d9%8a%d9%88%d8%aa%d9%86\/","title":{"rendered":"\u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646"},"content":{"rendered":"<p><center><\/p>\n<h1>\u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646<\/h1>\n<p><em><strong>\u0645\u0644\u062e\u0635:<\/strong><br \/>\n    \u062a\u062a\u0646\u0627\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u0648\u062f\u0648\u0631\u0647\u0627 \u0641\u064a \u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a 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\u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u0641\u0647\u0645<\/strong> \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0644\u0646\u064a\u0648\u062a\u0646 \u0648\u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0641\u064a \u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a \u0627\u0644\u0623\u062c\u0633\u0627\u0645.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u0644\u062a\u062d\u0644\u064a\u0644 \u0648\u062d\u0644 \u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a.<\/li>\n<li><strong>\u0627\u0644\u062a\u0639\u0631\u0641<\/strong> \u0639\u0644\u0649 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0643\u062a\u0644\u0629 \u0648\u0627\u0644\u0633\u0631\u0639\u0629 \u0648\u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a.<\/li>\n<li><strong>\u062a\u062d\u0644\u064a\u0644<\/strong> \u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u0645\u0631\u0627\u0642\u0628\u064a\u0646 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u064a\u0646 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a.<\/li>\n<li><strong>\u062a\u0648\u0636\u064a\u062d<\/strong> \u0643\u064a\u0641\u064a\u0629 \u0631\u0628\u0637 \u0642\u0627\u0646\u0648\u0646 \u0646\u064a\u0648\u062a\u0646 \u0627\u0644\u062b\u0627\u0646\u064a \u0628\u064a\u0646 \u0627\u0644\u0642\u0648\u0629 \u0648\u0627\u0644\u062a\u0633\u0627\u0631\u0639.<\/li>\n<li><strong>\u0648\u0635\u0641<\/strong> \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u0645\u0642\u0627\u0631\u0646\u062a\u0647\u0627 \u0628\u064a\u0646 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 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justify;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u062a\u064a \u0627\u0633\u062a\u0639\u0631\u0636\u0646\u0627\u0647\u0627 \u0641\u064a <a href=\"https:\/\/toposuranos.com\/posicion-velocidad-y-aceleracion-cinematica\/\" rel=\"noopener\" target=\"_blank\">\u0627\u0644\u062d\u0635\u0635 \u0627\u0644\u0633\u0627\u0628\u0642\u0629<\/a> \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0648\u0635\u0641 \u062d\u0631\u0643\u0629 \u0627\u0644\u0623\u062c\u0633\u0627\u0645\u060c \u0641\u0645\u0646 \u062e\u0644\u0627\u0644 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u0627 \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0627\u0644\u062a\u0641\u0643\u064a\u0631 \u0641\u064a \u0623\u0633\u0628\u0627\u0628 \u0627\u0644\u062d\u0631\u0643\u0629 (\u0623\u0648 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\u0644\u062a\u062d\u062f\u064a\u062f \u062d\u0627\u0644\u0629 \u0627\u0644\u062d\u0631\u0643\u0629<\/strong><\/a> \u0644\u0644\u0623\u062c\u0633\u0627\u0645\u060c \u0623\u0648 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a. \u064a\u0642\u0627\u0644 \u0623\u0646 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a \u0644\u062c\u0633\u0645 \u0645\u0627\u060c <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{p}<\/span>\u060c \u0647\u0648 \u0646\u0627\u062a\u062c \u0627\u0644\u0643\u062a\u0644\u0629 \u0641\u064a \u0627\u0644\u0633\u0631\u0639\u0629.<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\vec{p}=m\\vec{v}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u062d\u0627\u0644\u0629 \u0627\u0644\u062d\u0631\u0643\u0629 \u0647\u064a \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0648\u0631\u0627\u0621 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646.<\/p>\n<p>    <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/Tcp_1M1a7H0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p>    <a name=\"2\"><\/a><\/p>\n<h2>\u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u062d\u0648\u0644 \u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a \u0627\u0644\u0623\u062c\u0633\u0627\u0645<\/h2>\n<h4>\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0623\u0648\u0644 (\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a):<\/h4>\n<p style=\"text-align: center; color: #000080; background-color: #80ff80;\"><strong>\u0641\u064a \u063a\u064a\u0627\u0628 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 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\u0627\u0644\u062e\u0637\u064a \u0643\u0645\u0642\u062f\u0627\u0631 \u0645\u062d\u0641\u0648\u0638\u061b \u0648\u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0648\u0647\u064a \u0628\u0646\u0641\u0633 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0648\u0644\u0643\u0646\u0647\u0627 \u0623\u0643\u062b\u0631 \u0636\u0645\u0646\u064a\u0629\u060c \u062a\u062a\u064a\u062d \u0644\u0646\u0627 \u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0647\u0648 <strong>\u0627\u0644\u0645\u0631\u0627\u0642\u0628 \u0627\u0644\u0642\u0635\u0648\u0631\u064a.<\/strong><\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Tcp_1M1a7H0&amp;t=322s\" target=\"_blank\" rel=\"noopener\"><strong>\u0647\u0646\u0627\u0643 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0637\u0631\u0642 \u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0631\u0627\u0642\u0628\u060c<\/strong><\/a> \u0644\u0643\u0646 \u0645\u0646 \u0628\u064a\u0646 \u0643\u0644 \u0647\u0624\u0644\u0627\u0621\u060c \u0647\u0646\u0627\u0643 \u0641\u0626\u0629 \u062e\u0627\u0635\u0629 \u0646\u0633\u0645\u064a\u0647\u0627 \u0627\u0644\u0645\u0631\u0627\u0642\u0628 \u0627\u0644\u0642\u0635\u0648\u0631\u064a. \u0648\u0627\u0644\u0641\u0631\u0642 \u064a\u0643\u0645\u0646 \u0641\u064a \u0623\u0646\u0647\u060c \u0645\u0646 \u0648\u062c\u0647\u0629 \u0646\u0638\u0631 \u0627\u0644\u0645\u0631\u0627\u0642\u0628 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u060c \u0641\u064a \u063a\u064a\u0627\u0628 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u062e\u0627\u0631\u062c\u064a\u060c \u062a\u0643\u0648\u0646 \u062d\u0627\u0644\u0629 \u062d\u0631\u0643\u0629 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0645\u0642\u062f\u0627\u0631\u064b\u0627 \u0645\u062d\u0641\u0648\u0638\u064b\u0627.<\/p>\n<h5>\u0645\u0627 \u0627\u0644\u0630\u064a \u064a\u0645\u064a\u0632 \u0627\u0644\u0645\u0631\u0627\u0642\u0628 \u0627\u0644\u0642\u0635\u0648\u0631\u064a \u0639\u0646 \u063a\u064a\u0631\u0647\u061f<\/h5>\n<p style=\"text-align: justify;\">\u0627\u0644\u0641\u0631\u0642 \u064a\u0643\u0645\u0646 \u0641\u064a \u0623\u0646\u0647\u060c \u0645\u0646 \u0648\u062c\u0647\u0629 \u0646\u0638\u0631 \u0627\u0644\u0645\u0631\u0627\u0642\u0628 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u060c \u0641\u064a \u063a\u064a\u0627\u0628 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u062e\u0627\u0631\u062c\u064a\u060c \u062a\u0643\u0648\u0646 \u062d\u0627\u0644\u0629 \u062d\u0631\u0643\u0629 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0645\u0642\u062f\u0627\u0631\u064b\u0627 \u0645\u062d\u0641\u0648\u0638\u064b\u0627.<\/p>\n<h4>\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062b\u0627\u0646\u064a (\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0642\u0648\u0629 \u0648\u0627\u0644\u0643\u062a\u0644\u0629):<\/h4>\n<p style=\"text-align: center; color: #000080; background-color: #80ff80;\"><strong>\u0645\u0646 \u0648\u062c\u0647\u0629 \u0646\u0638\u0631 \u0627\u0644\u0645\u0631\u0627\u0642\u0628 \u0627\u0644\u0642\u0635\u0648\u0631\u064a\u060c \u062a\u0643\u0648\u0646 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0624\u062b\u0631\u0629 \u0628\u0648\u0627\u0633\u0637\u0629 \u0639\u0627\u0645\u0644 \u062e\u0627\u0631\u062c\u064a \u0639\u0644\u0649 \u062c\u0633\u0645 \u0645\u0627 \u0645\u0643\u0627\u0641\u0626\u0629 \u0644\u062a\u063a\u064a\u0631 \u062d\u0627\u0644\u0629 \u062d\u0631\u0643\u062a\u0647.<\/strong><\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Tcp_1M1a7H0&amp;t=396s\" target=\"_blank\" rel=\"noopener\"><strong>\u0628\u0639\u0628\u0627\u0631\u0629 \u0623\u062e\u0631\u0649\u060c \u0625\u0630\u0627 \u062a\u0645 \u062a\u0637\u0628\u064a\u0642 \u0642\u0648\u0629 \u0639\u0644\u0649 \u062c\u0633\u0645<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}<\/span>\u060c \u0641\u0625\u0646\u0647 \u0633\u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle \\vec{F}=\\frac{d\\vec{p}}{dt}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629 \u00ab\u0627\u0644\u0642\u0648\u0629 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0643\u062a\u0644\u0629 \u0641\u064a \u0627\u0644\u062a\u0633\u0627\u0631\u0639\u00bb\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}=m\\vec{a},<\/span><\/span> \u0644\u064a\u0633\u062a \u0633\u0648\u0649 \u0646\u062a\u064a\u062c\u0629 \u0644\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062b\u0627\u0646\u064a \u0644\u0646\u064a\u0648\u062a\u0646\u060c \u0627\u0644\u062a\u064a \u062a\u064f\u0633\u062a\u062e\u0644\u0635 \u0645\u0646 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0648\u0627\u0644\u062d\u0641\u0627\u0638 \u0639\u0644\u0649 \u0627\u0644\u0643\u062a\u0644\u0629.<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n    \\vec{F} &amp; =\\displaystyle \\frac{d\\vec{p}}{dt} = \\frac{d}{dt}\\left(m\\vec{v} \\right) \\\\ \\\\\n\n    &amp; =\\displaystyle \\underbrace{\\frac{dm}{dt}}_{= 0}\\vec{v} + m \\underbrace{\\frac{d\\vec{v}}{dt}}_{= \\vec{a}} = m\\vec{a}\n\n    \\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629\u060c \u062a\u0645 \u0627\u0639\u062a\u0628\u0627\u0631 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">dm\/dt=0<\/span><\/span> \u0644\u0623\u0646\u0647 \u064a\u064f\u0641\u062a\u0631\u0636 \u0623\u0646\u0647 \u0644\u0627 \u064a\u062a\u0645 \u0625\u0636\u0627\u0641\u0629 \u0623\u0648 \u0625\u0632\u0627\u0644\u0629 \u0643\u062a\u0644\u0629\u060c \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">d\\vec{v}\/dt<\/span><\/span> \u0647\u0648 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0633\u0627\u0631\u0639.<\/p>\n<h5>\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a\u0629<\/h5>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Tcp_1M1a7H0&amp;t=572s\" target=\"_blank\" rel=\"noopener\"><strong>\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062b\u0627\u0646\u064a \u0644\u0646\u064a\u0648\u062a\u0646<\/strong><\/a> \u064a\u0633\u0645\u062d \u0644\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0628\u062a\u0648\u0636\u064a\u062d \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0643\u062a\u0644\u0629. \u0647\u0646\u0627 \u062a\u0638\u0647\u0631 \u0643\u0639\u0627\u0645\u0644 \u062a\u0646\u0627\u0633\u0628 \u0628\u064a\u0646 \u0627\u0644\u0642\u0648\u0629 \u0648\u0627\u0644\u062a\u0633\u0627\u0631\u0639. \u0643\u0644\u0645\u0627 \u0632\u0627\u062f\u062a \u0627\u0644\u0643\u062a\u0644\u0629\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0624\u062b\u0631\u0629 \u0623\u0643\u0628\u0631 \u0644\u062a\u062d\u0642\u064a\u0642 \u0646\u0641\u0633 \u0627\u0644\u062a\u0633\u0627\u0631\u0639\u061b \u0646\u062a\u064a\u062c\u0629 \u0644\u0630\u0644\u0643\u060c \u062a\u064f\u0641\u0647\u0645 \u0627\u0644\u0643\u062a\u0644\u0629 \u0643\u0645\u0642\u064a\u0627\u0633 \u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0648\u0645\u0646 \u0647\u0646\u0627 \u062c\u0627\u0621\u062a \u062a\u0633\u0645\u064a\u062a\u0647\u0627 \u0628\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a\u0629. \u0625\u0630\u0627 \u062a\u0623\u062b\u0631\u062a \u0642\u0648\u062a\u064a\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u064a\u0646 \u0639\u0644\u0649 \u062c\u0633\u0645\u064a\u0646 \u0641\u064a \u062d\u0627\u0644\u0629 \u0633\u0643\u0648\u0646 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0645\u0631\u0627\u0642\u0628 \u0642\u0635\u0648\u0631\u064a (\u062f\u0648\u0646 \u062a\u0628\u0627\u062f\u0644 \u0645\u0627\u062f\u0629)\u060c \u0641\u0625\u0646\u0647 \u0644\u062f\u064a\u0646\u0627<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m_1 \\vec{a}_1 = \\vec{F} = m_2 \\vec{a}_2<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u0630\u0644\u0643 \u064a\u0645\u0643\u0646\u0646\u0627 \u0645\u0642\u0627\u0631\u0646\u0629 \u0643\u062a\u0644 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0646\u0633\u0628\u0629 \u0645\u0642\u0627\u062f\u064a\u0631 \u0627\u0644\u062a\u0633\u0627\u0631\u0639<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{m_1}{m_2} = \\frac{\\|\\vec{a_2}\\|}{\\|\\vec{a_1}\\|}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m_2<\/span><\/span> \u0647\u0648 \u00ab\u0643\u064a\u0644\u0648\u063a\u0631\u0627\u0645 \u0645\u0639\u064a\u0627\u0631\u064a\u00bb\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u0645\u0631\u0627\u0642\u0628\u0629 \u0627\u0644\u0646\u0633\u0628\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\|\\vec{a}_2\\|\/\\|\\vec{a}_1\\|<\/span><\/span> \u0644\u0645\u0639\u0631\u0641\u0629 \u0639\u062f\u062f \u0627\u0644\u0643\u064a\u0644\u0648\u062c\u0631\u0627\u0645\u0627\u062a \u0641\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m_1.<\/span><\/span><\/p>\n<h4>\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062b\u0627\u0644\u062b (\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644):<\/h4>\n<p style=\"text-align: center; color: #000080; background-color: #80ff80;\"><strong>\u0625\u0630\u0627 \u0623\u062b\u0631 \u062c\u0633\u0645 A \u0639\u0644\u0649 \u062c\u0633\u0645 B \u0628\u0642\u0648\u0629 \u00ab\u0627\u0644\u0641\u0639\u0644\u00bb\u060c \u0641\u0625\u0646 B \u064a\u0624\u062b\u0631 \u0639\u0644\u0649 A \u0628\u0642\u0648\u0629 \u00ab\u0631\u062f \u0627\u0644\u0641\u0639\u0644\u00bb \u0630\u0627\u062a \u0645\u0642\u062f\u0627\u0631 \u0645\u0633\u0627\u0648\u064a \u0648\u0644\u0643\u0646 \u0628\u0627\u062a\u062c\u0627\u0647 \u0645\u0639\u0627\u0643\u0633.<\/strong><\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Tcp_1M1a7H0&amp;t=794s\" target=\"_blank\" rel=\"noopener\"><strong>\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062b\u0627\u0644\u062b \u0644\u0646\u064a\u0648\u062a\u0646 \u0644\u0627 \u064a\u0633\u0645\u062d \u0641\u0642\u0637 \u0628\u0627\u0644\u062d\u062f\u064a\u062b<\/strong><\/a> \u0628\u062f\u0642\u0629 \u0623\u0643\u0628\u0631 \u0639\u0646 \u0627\u0644\u0642\u0648\u0649\u060c \u0648\u0644\u0643\u0646\u0647 \u064a\u062b\u0628\u062a \u0623\u064a\u0636\u064b\u0627 \u0628\u0634\u0643\u0644 \u0635\u0631\u064a\u062d \u0623\u0646 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u062e\u0627\u0631\u062c\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0637\u0628\u0642 \u0642\u0648\u0629 \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0643\u0627\u0626\u0646\u0627\u062a \u0645\u0627\u062f\u064a\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062a\u0623\u062b\u0631 \u0628\u0647\u0627:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u062e\u0627\u0631\u062c\u064a \u0647\u0648 \u0643\u0627\u0626\u0646 \u0645\u0627\u062f\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u062a\u0623\u062b\u0631 \u0628\u0627\u0644\u0642\u0648\u0649.<\/li>\n<li>\u0627\u0644\u0642\u0648\u0649 \u0644\u0627 \u062a\u062d\u062f\u062b \u0628\u0634\u0643\u0644 \u0645\u0646\u0641\u0631\u062f\u060c \u0628\u0644 \u062a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0623\u0632\u0648\u0627\u062c \u062a\u0633\u0645\u0649 \u00ab\u0623\u0632\u0648\u0627\u062c \u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644\u00bb\u060c \u0648\u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u062a\u062c\u0647\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u0623\u0632\u0648\u0627\u062c \u062f\u0627\u0626\u0645\u064b\u0627 \u064a\u0643\u0648\u0646 \u0635\u0641\u0631\u0627\u064b.<\/li>\n<li>\u0623\u0632\u0648\u0627\u062c \u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644 \u062a\u062d\u062f\u062b \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u0623\u062c\u0633\u0627\u0645 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0628\u062d\u064a\u062b \u0644\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0643\u0644\u064a \u0644\u0644\u0642\u0648\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0633\u0645 \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0635\u0641\u0631\u0627\u064b.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0623\u0632\u0648\u0627\u062c \u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644 \u062a\u0646\u0641\u0630 \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u062e\u0637 \u0645\u0633\u062a\u0642\u064a\u0645\u060c \u0641\u0625\u0646 \u0630\u0644\u0643 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0645\u0627 \u0633\u0646\u0631\u0627\u0647 \u0644\u0627\u062d\u0642\u064b\u0627 \u0648\u0647\u0648 \u0627\u0644\u062d\u0641\u0627\u0638 \u0639\u0644\u0649 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u0632\u0627\u0648\u064a.<\/p>\n<p style=\"text-align: justify;\">\u0625\u0644\u0649 \u062c\u0627\u0646\u0628 \u0647\u0630\u0647 \u0627\u0644\u0623\u0634\u064a\u0627\u0621\u060c \u064a\u0642\u0648\u0644 \u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062b\u0627\u0644\u062b \u0644\u0646\u064a\u0648\u062a\u0646 \u0628\u0639\u0636 \u0627\u0644\u0623\u0645\u0648\u0631 \u0628\u0634\u0643\u0644 \u0636\u0645\u0646\u064a:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0644\u062a\u0637\u0628\u064a\u0642 \u0642\u0648\u0629 \u0635\u0627\u0641\u064a\u0629 \u063a\u064a\u0631 \u0635\u0641\u0631\u064a\u0629 \u0639\u0644\u0649 \u062c\u0633\u0645\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0647\u0646\u0627\u0643 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u062c\u0633\u0645 \u062b\u0627\u0646\u064d.<\/li>\n<li>\u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644 \u064a\u062d\u062f\u062b\u0627\u0646 \u0628\u0634\u0643\u0644 \u0645\u062a\u0632\u0627\u0645\u0646. \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u062c\u0633\u0645\u064a\u0646 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u062a\u0641\u0627\u0639\u0644\u0627 \u0639\u0646 \u0628\u0639\u062f (\u0639\u0628\u0631 \u0627\u0644\u062c\u0627\u0630\u0628\u064a\u0629 \u0623\u0648 \u0627\u0644\u0643\u0647\u0631\u0648\u0645\u063a\u0646\u0627\u0637\u064a\u0633\u064a\u0629)\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0647\u0646\u0627\u0643 \u0641\u064a \u0645\u064a\u0643\u0627\u0646\u064a\u0643\u0627 \u0646\u064a\u0648\u062a\u0646 \u0637\u0631\u064a\u0642\u0629 \u0644\u0646\u0642\u0644 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0645\u0646 \u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0623\u062e\u0631\u0649 \u0628\u0633\u0631\u0639\u0629 \u0644\u0627\u0646\u0647\u0627\u0626\u064a\u0629. \u0646\u062d\u0646 \u0646\u0639\u0644\u0645 \u0623\u0646 \u0647\u0630\u0627 \u063a\u064a\u0631 \u0645\u0645\u0643\u0646\u060c \u0644\u0623\u0646 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0642\u0635\u0648\u0649 \u062d\u0633\u0628 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0647\u064a \u0633\u0631\u0639\u0629 \u0627\u0644\u0636\u0648\u0621 \u0641\u064a \u0627\u0644\u0641\u0631\u0627\u063a\u060c \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0644 \u0625\u0646 \u0647\u0630\u0627 \u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062b\u0627\u0644\u062b \u0647\u0648 \u062a\u0642\u0631\u064a\u0628 \u0644\u0644\u0648\u0627\u0642\u0639.<\/li>\n<\/ul>\n<p>    <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/DuO-cvLNzwQ\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p>    <a name=\"3\"><\/a><\/p>\n<h2>\u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646\u061f<\/h2>\n<p style=\"text-align: justify;\">\u0644\u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u0628\u0637\u0631\u064a\u0642\u0629 \u062a\u062c\u0639\u0644 \u0645\u0639\u0646\u0627\u0647\u0627 \u0648\u0627\u0636\u062d\u064b\u0627\u060c \u0645\u0646 \u0627\u0644\u0623\u0641\u0636\u0644 \u0627\u0644\u0631\u062c\u0648\u0639 \u0625\u0644\u0649 \u0623\u0645\u062b\u0644\u0629 \u0645\u0628\u0646\u064a\u0629 \u0639\u0644\u0649 \u062d\u0627\u0644\u0627\u062a \u0645\u0644\u0645\u0648\u0633\u0629 \u0648\u0628\u0646\u0627\u0621 \u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631.<\/p>\n<h3>\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=DuO-cvLNzwQ&amp;t=96s\" target=\"_blank\" rel=\"noopener\"><strong>\u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0647\u0648<\/strong><\/a> \u0631\u0633\u0645 \u062a\u0648\u0636\u064a\u062d\u064a \u0646\u0648\u0636\u062d \u0641\u064a\u0647 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0645\u0624\u062b\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0633\u0645. \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0645\u0627 \u0627\u0633\u062a\u0639\u0631\u0636\u0646\u0627\u0647 \u062d\u0648\u0644 \u0627\u0644\u0648\u0632\u0646\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0646\u0627\u0621 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631.<\/p>\n<h4>\u062c\u0633\u0645 \u0645\u0648\u0636\u0648\u0639 \u0639\u0644\u0649 \u0633\u0637\u062d \u0623\u0641\u0642\u064a<\/h4>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=DuO-cvLNzwQ&amp;t=180s\" target=\"_blank\" rel=\"noopener\"><strong>\u0628\u0633\u0628\u0628 \u0627\u0644\u062c\u0627\u0630\u0628\u064a\u0629\u060c \u0643\u0644 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0630\u0627\u062a \u0627\u0644\u0643\u062a\u0644\u0629 \u062a\u0634\u0639\u0631 \u0628\u0642\u0648\u0629<\/strong><\/a> \u0645\u0648\u062c\u0647\u0629 \u0646\u062d\u0648 \u0627\u0644\u0623\u0631\u0636. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062b\u0627\u0646\u064a \u0644\u0646\u064a\u0648\u062a\u0646 \u0646\u0644\u0627\u062d\u0638 \u0623\u0646 \u0647\u0630\u0647 \u0627\u0644\u0642\u0648\u0629 \u062a\u064f\u0639\u0637\u0649 \u0628\u0636\u0631\u0628 \u0627\u0644\u0643\u062a\u0644\u0629 \u0641\u064a \u062a\u0633\u0627\u0631\u0639 \u0627\u0644\u062c\u0627\u0630\u0628\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{g}=-g\\hat{y},<\/span><\/span> \u062d\u064a\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g=9.81[m\/s^2].<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}_{\u0627\u0644\u0648\u0632\u0646}=m\\vec{g} = -mg\\hat{y}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0645\u0627 \u0646\u0641\u0647\u0645\u0647 \u0645\u0646 \u00ab\u0627\u0644\u0648\u0632\u0646\u00bb \u0644\u0644\u062c\u0633\u0645 \u0647\u0648 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0645\u0642\u062f\u0627\u0631 \u0647\u0630\u0647 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u062a\u064a \u0623\u0637\u0644\u0642\u0646\u0627 \u0639\u0644\u064a\u0647\u0627 \u0648\u0632\u0646.<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{\u0627\u0644\u0648\u0632\u0646}=\\|\\vec{F}_{\u0627\u0644\u0648\u0632\u0646}\\|= mg<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0639\u0646\u062f\u0645\u0627 \u0646\u0636\u0639 \u0643\u062a\u0644\u0629 \u0639\u0644\u0649 \u0633\u0637\u062d \u0623\u0641\u0642\u064a\u060c \u064a\u0638\u0647\u0631 \u0632\u0648\u062c \u0645\u0646 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644: \u0648\u0647\u0645\u0627 \u0642\u0648\u0629 \u0627\u0644\u0648\u0632\u0646 \u0648\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u0629. \u0647\u0630\u0647 \u0627\u0644\u0642\u0648\u0649 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0642\u062f\u0627\u0631 \u0648\u0644\u0643\u0646 \u0645\u0639\u0627\u0643\u0633\u0629 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0628\u062d\u064a\u062b \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u062a\u062c\u0647\u064a \u0644\u0644\u0642\u0648\u0649 \u0639\u0644\u0649 \u0627\u0644\u062c\u0633\u0645 \u0635\u0641\u0631\u0627\u064b \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0638\u0644 \u062d\u0627\u0644\u062a\u0647 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u062b\u0627\u0628\u062a\u0629 \u0639\u0644\u0649 \u0645\u0631 \u0627\u0644\u0632\u0645\u0646.<\/p>\n<p>    <center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-ylYcrS1tJbw\/YVfZYBYCPjI\/AAAAAAAAFlU\/0mOIkMhF-Hwrysc_WB5o7MLvrQtxQJu2QCLcBGAsYHQ\/s0\/reposo-plano-horizontal.PNG\" width=\"497\" height=\"280\" alt=\"\u062c\u0633\u0645 \u0645\u0648\u0636\u0648\u0639 \u0639\u0644\u0649 \u0633\u0637\u062d \u0623\u0641\u0642\u064a\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-ylYcrS1tJbw\/YVfZYBYCPjI\/AAAAAAAAFlU\/0mOIkMhF-Hwrysc_WB5o7MLvrQtxQJu2QCLcBGAsYHQ\/s0\/reposo-plano-horizontal.PNG\" width=\"497\" height=\"280\" alt=\"\u062c\u0633\u0645 \u0645\u0648\u0636\u0648\u0639 \u0639\u0644\u0649 \u0633\u0637\u062d \u0623\u0641\u0642\u064a\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<h4>\u0627\u0644\u0627\u0646\u0632\u0644\u0627\u0642 \u0639\u0644\u0649 \u0633\u0637\u062d \u0623\u0641\u0642\u064a<\/h4>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=DuO-cvLNzwQ&amp;t=343s\" target=\"_blank\" rel=\"noopener\"><strong>\u0644\u0646\u062a\u062e\u064a\u0644 \u0623\u0646 \u0627\u0644\u0643\u062a\u0644\u0629 \u0645\u0631\u0628\u0648\u0637\u0629 \u0628\u062d\u0628\u0644<\/strong><\/a> \u0648\u0646\u0633\u062d\u0628\u0647\u0627 \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p>    <center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-a2GB2RJ7vTY\/YVgEny43ZkI\/AAAAAAAAFlk\/uZ9_XQ3JwVMiiWjZDNC5Y4ePVZ9GH1bngCLcBGAsYHQ\/s0\/fuerza-cuerpo-en-plano-horizontal.PNG\" width=\"793\" height=\"386\" alt=\"\u0645\u062e\u0637\u0637 \u0627\u0644\u0642\u0648\u0649 \u0639\u0644\u0649 \u062c\u0633\u0645 \u0639\u0644\u0649 \u0633\u0637\u062d \u0623\u0641\u0642\u064a\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-a2GB2RJ7vTY\/YVgEny43ZkI\/AAAAAAAAFlk\/uZ9_XQ3JwVMiiWjZDNC5Y4ePVZ9GH1bngCLcBGAsYHQ\/s0\/fuerza-cuerpo-en-plano-horizontal.PNG\" width=\"793\" height=\"386\" alt=\"\u0645\u062e\u0637\u0637 \u0627\u0644\u0642\u0648\u0649 \u0639\u0644\u0649 \u062c\u0633\u0645 \u0639\u0644\u0649 \u0633\u0637\u062d \u0623\u0641\u0642\u064a\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify;\">\u0647\u0646\u0627 \u0646\u0644\u0627\u062d\u0638 \u0638\u0647\u0648\u0631 \u0632\u0648\u062c\u064a\u0646 \u0645\u0646 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644: \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0623\u0632\u0648\u0627\u062c \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0642\u0648\u0649 \u0627\u0644\u0648\u0632\u0646 \u0648\u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u062c\u0633\u0627\u0645\u060c \u0648\u0647\u0646\u0627\u0643 \u0632\u0648\u062c \u062b\u0627\u0644\u062b \u0645\u0646 \u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644 \u0645\u0631\u062a\u0628\u0637 \u0628\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u062d\u0628\u0644 \u0627\u0644\u0630\u064a \u064a\u0633\u062d\u0628 \u0627\u0644\u0634\u062e\u0635 \u0627\u0644\u0643\u062a\u0644\u0629 \u0628\u0647\u060c \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0632\u0648\u062c \u0645\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0637\u0628\u0642\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vec{F}_1<\/span><\/span> \u0648\u0642\u0648\u0629 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}_{\u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643},<\/span><\/span> \u0645\u0639 \u0642\u064a\u0645\u0629 \u0642\u0635\u0648\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu\\|\\vec{F}_\\textnormal{\u0627\u0644\u0639\u0627\u062f\u064a\u0629}\\|.<\/span><\/span><\/p>\n<h5>\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0648\u0642\u0648\u0649 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643<\/h5>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=DuO-cvLNzwQ&amp;t=458s\" target=\"_blank\" rel=\"noopener\"><strong>\u0647\u0646\u0627 <span class=\"katex-eq\" data-katex-display=\"false\">\\mu<\/span> \u0647\u0648 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643<\/strong><\/a> \u0627\u0644\u0630\u064a \u064a\u0639\u0628\u0631 \u0639\u0646 \u0627\u0644\u0645\u0642\u0627\u0648\u0645\u0629 \u0644\u0644\u0627\u0646\u0632\u0644\u0627\u0642 \u0628\u064a\u0646 \u0633\u0637\u062d\u064a\u0646\u061b \u0644\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0646\u0633\u062e\u062a\u064a\u0646: \u0648\u0627\u062d\u062f\u0629 \u062d\u0631\u0643\u064a\u0629 (<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu_c<\/span><\/span>) \u0648\u0623\u062e\u0631\u0649 \u062b\u0627\u0628\u062a\u0629 (<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu_e<\/span><\/span>). \u064a\u0638\u0647\u0631 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0627\u0644\u062b\u0627\u0628\u062a \u0639\u0646\u062f\u0645\u0627 \u064a\u0628\u0642\u0649 \u0627\u0644\u062c\u0633\u0645 \u0641\u064a \u062d\u0627\u0644\u0629 \u0633\u0643\u0648\u0646 \u0628\u064a\u0646\u0645\u0627 \u064a\u0638\u0647\u0631 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0627\u0644\u062d\u0631\u0643\u064a \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u064a\u0628\u062f\u0623 \u0627\u0644\u062c\u0633\u0645 \u0641\u064a \u0627\u0644\u0627\u0646\u0632\u0644\u0627\u0642.<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{lcr}\\mu = \\left\\{\\begin{array}{lll} \\mu_e &amp; ;&amp; \\textnormal{\u062c\u0633\u0645 \u0641\u064a \u062d\u0627\u0644\u0629 \u0633\u0643\u0648\u0646} \\\\ \\\\ \\mu_c &amp; ;&amp; \\textnormal{\u062c\u0633\u0645 \u0641\u064a \u062d\u0631\u0643\u0629} \\end{array}\\right. &amp; ; &amp; \\textnormal{\u062d\u064a\u062b } \\mu_c \\leq \\mu_e\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0642\u0648\u0629 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u062a\u0639\u0627\u0631\u0636 \u062d\u0631\u0643\u0629 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u0630\u064a \u064a\u0639\u0627\u0646\u064a \u0645\u0646\u0647\u0627 \u0648\u064a\u0645\u0643\u0646 \u0646\u0645\u0630\u062c\u062a\u0647\u0627 (\u0628\u0634\u0643\u0644 \u0645\u0628\u0633\u0637) \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n        \\vec{F}_\\textnormal{\u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643} ( \\vec{F}_1 ) = \\left\\{\n\n            \\begin{array}{lll}\n\n            - \\vec{F}_1 &amp; ; &amp; \\|\\vec{F}_1\\| \\leq \\mu_e \\|\\vec{F}_\\textnormal{\u0627\u0644\u0639\u0627\u062f\u064a\u0629}\\| \\\\ \\\\\n\n            -\\mu_c \\|\\vec{F}_\\textnormal{\u0627\u0644\u0639\u0627\u062f\u064a\u0629}\\|\\hat{x} &amp; ; &amp; \\mu_e \\|\\vec{F}_\\textnormal{\u0627\u0644\u0639\u0627\u062f\u064a\u0629}\\| \\lt \\|\\vec{F}\\|\n\n            \\end{array}\n\n    \\right.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0637\u0628\u0642\u0629 \u0623\u0642\u0644 \u0645\u0646 \u0623\u0648 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0627\u0644\u062b\u0627\u0628\u062a\u060c \u064a\u0638\u0644 \u0627\u0644\u062c\u0633\u0645 \u0641\u064a \u062d\u0627\u0644\u0629 \u0633\u0643\u0648\u0646 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0623\u0631\u0636. \u0625\u0630\u0627 \u062a\u062c\u0627\u0648\u0632\u062a \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0637\u0628\u0642\u0629 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0627\u0644\u062b\u0627\u0628\u062a\u060c \u0641\u0625\u0646 \u0627\u0644\u062c\u0633\u0645 \u064a\u0628\u062f\u0623 \u0641\u064a \u0627\u0644\u062d\u0631\u0643\u0629 \u0648\u064a\u0635\u0628\u062d \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u062d\u0631\u0643\u064a\u064b\u0627\u060c \u0644\u0630\u0644\u0643 \u062a\u0643\u0648\u0646 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0635\u0627\u0641\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0633\u0645: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}_{\u0627\u0644\u0635\u0627\u0641\u064a\u0629} = \\vec{F}_1 - \\mu_c\\|\\vec{F}_\\textnormal{\u0627\u0644\u0639\u0627\u062f\u064a\u0629}\\|\\hat{x},<\/span><\/span> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u062a\u062d\u0631\u0643 \u0628\u062a\u0633\u0627\u0631\u0639 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{a} = \\vec{F}_{\u0627\u0644\u0635\u0627\u0641\u064a\u0629}\/M<\/span><\/span>. \u0625\u0630\u0627\u060c \u0628\u0645\u062c\u0631\u062f \u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645 \u0641\u064a \u0627\u0644\u062d\u0631\u0643\u0629\u060c \u062a\u062a\u0633\u0627\u0648\u0649 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0637\u0628\u0642\u0629 \u0645\u0639 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0627\u0644\u062d\u0631\u0643\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u062c\u0633\u0645 \u064a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 \u062b\u0627\u0628\u062a\u0629.<\/p>\n<h4>\u0627\u0644\u0627\u0646\u0632\u0644\u0627\u0642 \u0639\u0644\u0649 \u0633\u0637\u062d \u0645\u0627\u0626\u0644<\/h4>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=DuO-cvLNzwQ&amp;t=753s\" target=\"_blank\" rel=\"noopener\"><strong>\u0639\u0646\u062f\u0645\u0627 \u064a\u0646\u0632\u0644\u0642 \u062c\u0633\u0645 \u0639\u0644\u0649 \u0633\u0637\u062d \u0645\u0627\u0626\u0644<\/strong><\/a> \u0628\u0632\u0627\u0648\u064a\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0645\u062e\u0637\u0637 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p>    <center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-vMApZqsSDs0\/YVjUkV187NI\/AAAAAAAAFls\/eZ2DPO6f54AKJDtB7-y1DP3TFjIMZjT7ACLcBGAsYHQ\/s0\/diagrama%2Bde%2Bfuerzas%2Ben%2Bplano%2Binclinado.PNG\" width=\"823\" height=\"554\" alt=\"\u0645\u062e\u0637\u0637 \u0627\u0644\u0642\u0648\u0649 \u0644\u0644\u0627\u0646\u0632\u0644\u0627\u0642 \u0639\u0644\u0649 \u0633\u0637\u062d \u0645\u0627\u0626\u0644\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-vMApZqsSDs0\/YVjUkV187NI\/AAAAAAAAFls\/eZ2DPO6f54AKJDtB7-y1DP3TFjIMZjT7ACLcBGAsYHQ\/s0\/diagrama%2Bde%2Bfuerzas%2Ben%2Bplano%2Binclinado.PNG\" width=\"823\" height=\"554\" alt=\"\u0645\u062e\u0637\u0637 \u0627\u0644\u0642\u0648\u0649 \u0644\u0644\u0627\u0646\u0632\u0644\u0627\u0642 \u0639\u0644\u0649 \u0633\u0637\u062d \u0645\u0627\u0626\u0644\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify;\">\u0647\u0646\u0627\u060c \u0648\u0644\u0623\u063a\u0631\u0627\u0636 \u0627\u0644\u0631\u0627\u062d\u0629\u060c \u062a\u0645 \u0627\u062e\u062a\u064a\u0627\u0631 \u0646\u0638\u0627\u0645 \u0645\u0631\u062c\u0639\u064a \u0645\u0648\u062c\u0647 \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u0645\u0639 \u0633\u0637\u062d \u0627\u0644\u0627\u0646\u0632\u0644\u0627\u0642. \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062e\u0637\u0637\u060c \u064a\u062a\u0645 \u062a\u0642\u0633\u064a\u0645 \u0642\u0648\u0629 \u0627\u0644\u0648\u0632\u0646 \u0625\u0644\u0649 \u0645\u0631\u0643\u0628\u062a\u064a\u0646: \u0648\u0627\u062d\u062f\u0629 \u0645\u0648\u0627\u0632\u064a\u0629 \u0648\u0623\u062e\u0631\u0649 \u0639\u0645\u0648\u062f\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062d\u0631\u0643\u0629.<\/p>\n<ul>\n<li><strong>\u0627\u0644\u0645\u0631\u0643\u0628\u0629 \u0627\u0644\u0645\u0648\u0627\u0632\u064a\u0629:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}_{\\textnormal{\u0627\u0644\u0648\u0632\u0646},x}=mg\\sin(\\alpha)\\hat{x}<\/span><\/span><\/li>\n<li><strong>\u0627\u0644\u0645\u0631\u0643\u0628\u0629 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u0629:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}_{\u0627\u0644\u0648\u0632\u0646,y}=-mg\\cos(\\alpha)\\hat{y}<\/span><\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u062a\u0638\u0647\u0631 \u0642\u0648\u0629 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0643\u0631\u062f \u0641\u0639\u0644 \u0644\u0644\u0645\u0631\u0643\u0628\u0629 \u0627\u0644\u0645\u0648\u0627\u0632\u064a\u0629 \u0644\u0644\u062d\u0631\u0643\u0629 \u0644\u0642\u0648\u0629 \u0627\u0644\u0648\u0632\u0646\u060c \u0648\u062a\u0638\u0647\u0631 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u0629 \u0643\u0631\u062f \u0641\u0639\u0644 \u0644\u0644\u0645\u0631\u0643\u0628\u0629 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u0629 \u0644\u0642\u0648\u0629 \u0627\u0644\u0648\u0632\u0646. \u0625\u0630\u0627 \u062a\u062c\u0627\u0648\u0632 \u0627\u0644\u0645\u0631\u0643\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0644\u0642\u0648\u0629 \u0627\u0644\u0648\u0632\u0646 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0627\u0644\u062b\u0627\u0628\u062a\u060c \u0641\u0625\u0646 \u062d\u0627\u0644\u0629 \u062d\u0631\u0643\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u062a\u062a\u063a\u064a\u0631 \u0628\u062a\u0633\u0627\u0631\u0639<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{a} = mg\\left(\\frac{\\sin(\\alpha) - \\mu_c \\cos(\\alpha)}{m}\\right)\\hat{x}<\/span><\/span><\/p>\n<h4>\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0645\u0639\u0644\u0642\u0629<\/h4>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=DuO-cvLNzwQ&amp;t=1085s\" target=\"_blank\" rel=\"noopener\"><strong>\u0643\u062a\u0644\u0629 \u0645\u0639\u0644\u0642\u0629 \u0628\u062d\u0628\u0644 \u0645\u0631\u062a\u0628\u0637 \u0628\u0633\u0642\u0641<\/strong><\/a> \u0648\u062a\u0628\u0642\u0649 \u0641\u064a \u062d\u0627\u0644\u0629 \u0633\u0643\u0648\u0646 \u0644\u0647\u0627 \u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p>    <center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-jWSXd7lQhiw\/YVjpzr8z-pI\/AAAAAAAAFl0\/sZ955vFZz3Y-MtKXQQK8UFPRAaHhgxyPgCLcBGAsYHQ\/s0\/masa-colgante.PNG\" width=\"555\" height=\"521\" alt=\"\u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0644\u0643\u062a\u0644\u0629 \u0645\u0639\u0644\u0642\u0629\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-jWSXd7lQhiw\/YVjpzr8z-pI\/AAAAAAAAFl0\/sZ955vFZz3Y-MtKXQQK8UFPRAaHhgxyPgCLcBGAsYHQ\/s0\/masa-colgante.PNG\" width=\"555\" height=\"521\" alt=\"\u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0644\u0643\u062a\u0644\u0629 \u0645\u0639\u0644\u0642\u0629\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify;\">\u0643\u062a\u0644\u0629 \u0645\u0639\u0644\u0642\u0629 \u0628\u062d\u0628\u0644 \u0645\u0631\u062a\u0628\u0637 \u0628\u0633\u0642\u0641 \u0648\u062a\u0628\u0642\u0649 \u0641\u064a \u062d\u0627\u0644\u0629 \u0633\u0643\u0648\u0646 \u0644\u0647\u0627 \u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: justify;\">\u0639\u0644\u0649 \u0627\u0644\u062d\u0628\u0644 \u064a\u0648\u062c\u062f \u0632\u0648\u062c \u0645\u0646 \u0627\u0644\u0642\u0648\u0649 \u0646\u0633\u0645\u064a\u0647\u0627 \u00ab\u0627\u0644\u062a\u0648\u062a\u0631\u00bb\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062d\u0628\u0644 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644 \u0644\u0644\u062a\u0645\u062f\u062f\u060c \u0641\u0625\u0646 \u0647\u0630\u0647 \u0627\u0644\u0642\u0648\u0649 \u062a\u0643\u0648\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0648\u0645\u0642\u0627\u0628\u0644\u0629. \u0639\u0644\u0649 \u0627\u0644\u0643\u062a\u0644\u0629 \u0623\u064a\u0636\u064b\u0627 \u064a\u0624\u062b\u0631 \u0632\u0648\u062c \u0645\u0646 \u0627\u0644\u0642\u0648\u0649: \u0627\u0644\u0648\u0632\u0646 \u0648\u0627\u0644\u062a\u0648\u062a\u0631 \u0641\u064a \u0627\u0644\u062d\u0628\u0644. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0643\u062a\u0644\u0629 \u062a\u0628\u0642\u0649 \u0645\u0639\u0644\u0642\u0629 \u0648\u0633\u0627\u0643\u0646\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u0648\u0632\u0646 \u0648\u0627\u0644\u062a\u0648\u062a\u0631 \u064a\u0643\u0648\u0646\u0627\u0646 \u0645\u062a\u0636\u0627\u062f\u064a\u0646 \u0648\u0628\u0646\u0641\u0633 \u0627\u0644\u0645\u0642\u062f\u0627\u0631. \u0647\u0646\u0627\u0643 \u0642\u0648\u0629 \u0631\u0627\u0628\u0639\u0629 \u0644\u0645 \u062a\u064f\u0638\u0647\u0631 \u0647\u0646\u0627\u060c \u0648\u0647\u064a \u0627\u0644\u062a\u064a \u062a\u0628\u0642\u064a \u0627\u0644\u062d\u0628\u0644 \u0645\u0631\u062a\u0628\u0637\u064b\u0627 \u0628\u0627\u0644\u0633\u0642\u0641\u061b \u0645\u062c\u0645\u0648\u0639\u0629 \u0647\u0630\u0647 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0623\u0631\u0628\u0639 \u062a\u0634\u0643\u0644 \u0632\u0648\u062c\u064a\u0646 \u0645\u0646 \u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644.<\/p>\n<h4>\u062d\u0631\u0643\u0629 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0628\u0633\u064a\u0637<\/h4>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=DuO-cvLNzwQ&amp;t=1158s\" target=\"_blank\" rel=\"noopener\"><strong>\u0643\u062a\u0644\u0629 \u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u062d\u0628\u0644 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644 \u0644\u0644\u062a\u0645\u062f\u062f\u060c \u0648\u0647\u0630\u0627 \u0645\u0631\u062a\u0628\u0637 \u0628\u0633\u0642\u0641\u060c \u062a\u062a\u0630\u0628\u0630\u0628<\/strong><\/a> \u062d\u0648\u0644 \u0645\u0648\u0636\u0639 \u062a\u0648\u0627\u0632\u0646 \u0628\u0633\u0628\u0628 \u0648\u0632\u0646\u0647\u0627 \u0627\u0644\u062e\u0627\u0635 \u0647\u0648 \u0645\u0627 \u0646\u0633\u0645\u064a\u0647 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0628\u0633\u064a\u0637. \u0623\u0633\u0641\u0644 \u0644\u062f\u064a\u0646\u0627 \u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0644\u0647.<\/p>\n<p>    <center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-KEfWZhZZNl8\/YVkYdDhxLcI\/AAAAAAAAFl8\/CXQTZSVYbxIDw9G_JaVtV9VaG-ruwqHewCLcBGAsYHQ\/s0\/pendulo%2Bsimple.PNG\" width=\"366\" height=\"452\" alt=\"\u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0644\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0628\u0633\u064a\u0637\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-KEfWZhZZNl8\/YVkYdDhxLcI\/AAAAAAAAFl8\/CXQTZSVYbxIDw9G_JaVtV9VaG-ruwqHewCLcBGAsYHQ\/s0\/pendulo%2Bsimple.PNG\" width=\"366\" height=\"452\" alt=\"\u0645\u062e\u0637\u0637 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062d\u0631 \u0644\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0628\u0633\u064a\u0637\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify;\">\u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u062d\u0628\u0644 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644 \u0644\u0644\u062a\u0645\u062f\u062f\u060c \u0644\u062f\u064a\u0646\u0627 \u0623\u0646 \u0627\u0644\u062a\u0633\u0627\u0631\u0639 \u0627\u0644\u0634\u0639\u0627\u0639\u064a \u064a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_{p,\\parallel} + T = ma_{\\parallel}(t) = 0<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u0644\u0645\u0643\u0648\u0646 \u0627\u0644\u0639\u0645\u0648\u062f\u064a \u0639\u0644\u0649 \u0627\u0644\u062d\u0628\u0644 \u0633\u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_{p,\\bot}=-mg\\sin(\\theta) = ma_{\\bot}(t)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0623\u062e\u064a\u0631\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u0633\u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0632\u0627\u0648\u064a <span class=\"katex-eq\" data-katex-display=\"false\">\\theta<\/span> \u0644\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0628\u0633\u064a\u0637 \u0641\u064a \u0627\u0644\u0632\u0645\u0646<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{d^2\\theta(t)}{dt^2} + \\frac{g}{l}\\sin(\\theta) = 0<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0644\u0643\u0646 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0648\u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644\u0647\u0627 \u0647\u0648 \u0634\u064a\u0621 \u0633\u0646\u0631\u0627\u0647 \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644 \u0644\u0627\u062d\u0642\u064b\u0627.<\/p>\n<p>    <a name=\"4\"><\/a><\/p>\n<h2>\u062d\u0644 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646<\/h2>\n<p style=\"text-align: justify;\">\u0627\u0633\u062a\u062e\u062f\u0645 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol style=\"text-align: justify;\">\n<li>\u0643\u062a\u0644\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">15[kg]<\/span> \u0648\u064f\u0636\u0639\u062a \u0639\u0644\u0649 \u0633\u0637\u062d \u0623\u0641\u0642\u064a. \u0628\u064a\u0646 \u0627\u0644\u0643\u062a\u0644\u0629 \u0648\u0627\u0644\u0633\u0637\u062d \u064a\u0648\u062c\u062f \u0627\u062d\u062a\u0643\u0627\u0643 \u062b\u0627\u0628\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu_e=0.55<\/span><\/span> \u0648\u0627\u062d\u062a\u0643\u0627\u0643 \u062d\u0631\u0643\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu_c=0.31<\/span><\/span>\n<ol>\n<li type=\"a\">\u0645\u0627 \u0647\u064a \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u062f\u0646\u064a\u0627 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0644\u062a\u062d\u0631\u064a\u0643 \u0627\u0644\u0643\u062a\u0644\u0629\u061f<\/li>\n<li type=\"a\">\u0627\u062d\u0633\u0628 \u062a\u0633\u0627\u0631\u0639 \u0627\u0644\u0643\u062a\u0644\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u0628\u062f\u0623 \u0641\u064a \u0627\u0644\u062d\u0631\u0643\u0629 \u0628\u0633\u0628\u0628 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u062a\u064a \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u064a\u0647\u0627 \u0641\u064a \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0633\u0627\u0628\u0642.<\/li>\n<\/ol>\n<\/li>\n<li>\u0643\u062a\u0644\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">12[kg]<\/span><\/span> \u0648\u064f\u0636\u0639\u062a \u0639\u0644\u0649 \u0633\u0637\u062d \u0645\u0627\u0626\u0644. \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0627\u0644\u062b\u0627\u0628\u062a \u0647\u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu_e=0.03,<\/span><\/span> \u0641\u062d\u062f\u062f \u0623\u0642\u0635\u0649 \u0632\u0627\u0648\u064a\u0629 \u0645\u064a\u0644 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0638\u0644 \u0627\u0644\u0643\u062a\u0644\u0629 \u0641\u064a \u062d\u0627\u0644\u0629 \u0633\u0643\u0648\u0646.<\/li>\n<li>\u0643\u062a\u0644\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">75[kg]<\/span> \u062a\u0631\u062a\u0641\u0639 \u0628\u0633\u0631\u0639\u0629 \u062b\u0627\u0628\u062a\u0629 \u0639\u0644\u0649 \u0633\u0637\u062d \u0645\u0627\u0626\u0644 \u0628\u0632\u0627\u0648\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">30^o<\/span><\/span> \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0623\u0641\u0642 \u0628\u0633\u0628\u0628 \u0642\u0648\u0629 \u062a\u064f\u0637\u0628\u0642 \u0623\u0641\u0642\u064a\u064b\u0627 \u0639\u0644\u064a\u0647\u0627. \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0627\u062d\u062a\u0643\u0627\u0643 \u0627\u0644\u062d\u0631\u0643\u064a \u0628\u064a\u0646 \u0627\u0644\u0643\u062a\u0644\u0629 \u0648\u0633\u0637\u062d \u0627\u0644\u0645\u0646\u062d\u062f\u0631 \u0647\u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu_c=0.21,<\/span><\/span> \u0641\u062d\u062f\u062f \u0645\u0642\u062f\u0627\u0631 \u062a\u0644\u0643 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0637\u0628\u0642\u0629.<\/li>\n<p>    <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/kQaZdNm-iDQ\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<li>\u0627\u0639\u062a\u0628\u0631 \u0643\u062a\u0644\u062a\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m_1<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m_2<\/span><\/span> \u0645\u062a\u0635\u0644\u062a\u064a\u0646 \u0628\u062d\u0628\u0644 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644 \u0644\u0644\u062a\u0645\u062f\u062f \u0648\u0628\u062f\u0648\u0646 \u0643\u062a\u0644\u0629 \u064a\u0645\u0631 \u0639\u0628\u0631 \u0628\u0643\u0631\u0629 \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0634\u0643\u0644. \u0627\u062d\u0633\u0628 \u062a\u0633\u0627\u0631\u0639 \u0627\u0644\u0643\u062a\u0644\u062a\u064a\u0646.\n<p>    <center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEg6YZ3Pc3UlsxceJu3isovO7by4X1DHEtV-82DhHMl7FLepZDp8YQt4DAGxlQGSCemJE1Ai-SS4OdSMoJUc66U2cEKTuSbCbM_MhX-8jTElj2kwGK589fba-JoIcF9fDw_v36cKBD9OPrPJ6ZaXp4tKhK7qvNftjVQDoIyQDgGUlKXHLj_T3LOgT-rNyw\" width=\"298\" height=\"345\" alt=\"\u0622\u0644\u0629 \u0623\u062a\u0648\u0648\u062f\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEg6YZ3Pc3UlsxceJu3isovO7by4X1DHEtV-82DhHMl7FLepZDp8YQt4DAGxlQGSCemJE1Ai-SS4OdSMoJUc66U2cEKTuSbCbM_MhX-8jTElj2kwGK589fba-JoIcF9fDw_v36cKBD9OPrPJ6ZaXp4tKhK7qvNftjVQDoIyQDgGUlKXHLj_T3LOgT-rNyw\" width=\"298\" height=\"345\" alt=\"\u0622\u0644\u0629 \u0623\u062a\u0648\u0648\u062f\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center>\n    <\/li>\n<li>\u062d\u0628\u0644 \u0645\u0631\u0646 \u0630\u0648 \u0643\u062a\u0644\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">M<\/span> \u064a\u0639\u0644\u0642 \u0628\u064a\u0646 \u062c\u062f\u0627\u0631\u064a\u0646 \u0645\u0643\u0648\u0646\u064b\u0627 \u0632\u0627\u0648\u064a\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0639\u0646\u062f \u0646\u0642\u0627\u0637 \u0627\u0644\u0627\u062a\u0635\u0627\u0644. \u0627\u062d\u0633\u0628 \u062a\u0648\u062a\u0631 \u0627\u0644\u062d\u0628\u0644 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0623\u0643\u062b\u0631 \u0627\u0646\u062e\u0641\u0627\u0636\u064b\u0627.\n<p>    <center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEh3rmFCklJ9Z7Hb6M5Nb_lREohLFKZNhujGlrx1m8aUKGvr4RnoB0w3H2wQj1VHo6or-UgVj7_CtuBiL-mIs17CGJT4FF9gVPXPEKR34_6sRLW50L8q8bb5vby23Lby4xLzX92nfDvUnWnJsxtuTzehTRw-N3NJq9R91n-UFXzCgksrGooUWFGX8D1VLA\" width=\"343\" height=\"281\" alt=\"\u062d\u0628\u0644 \u0645\u0639\u0644\u0642\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEh3rmFCklJ9Z7Hb6M5Nb_lREohLFKZNhujGlrx1m8aUKGvr4RnoB0w3H2wQj1VHo6or-UgVj7_CtuBiL-mIs17CGJT4FF9gVPXPEKR34_6sRLW50L8q8bb5vby23Lby4xLzX92nfDvUnWnJsxtuTzehTRw-N3NJq9R91n-UFXzCgksrGooUWFGX8D1VLA\" width=\"343\" height=\"281\" alt=\"\u062d\u0628\u0644 \u0645\u0639\u0644\u0642\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center>\n    <\/li>\n<li>\u062c\u0633\u0645 \u0630\u0648 \u0643\u062a\u0644\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span> \u064a\u062f\u0648\u0631 \u0641\u064a \u062f\u0648\u0627\u0626\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 <span class=\"katex-eq\" data-katex-display=\"false\">x,y<\/span> \u0628\u0646\u0635\u0641 \u0642\u0637\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">R<\/span> \u0648\u0633\u0631\u0639\u0629 \u0632\u0627\u0648\u064a\u0629 \u062b\u0627\u0628\u062a\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">\\omega<\/span>. \u0627\u062d\u0633\u0628 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0637\u0628\u0642\u0629 \u0639\u0644\u0649 \u0627\u0644\u0643\u062a\u0644\u0629.<\/li>\n<p>    <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/D3fnVM-HKJ4\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u0645\u0644\u062e\u0635: \u062a\u062a\u0646\u0627\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u0648\u062f\u0648\u0631\u0647\u0627 \u0641\u064a \u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a \u0627\u0644\u0623\u062c\u0633\u0627\u0645. \u062a\u0633\u062a\u0643\u0634\u0641 \u0643\u064a\u0641 \u062a\u062d\u062f\u062f \u0627\u0644\u0643\u062a\u0644\u0629 \u0648\u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a\u060c \u0648\u062a\u0635\u0641 \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u062b\u0644\u0627\u062b\u0629: \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a \u0627\u0644\u0630\u064a \u064a\u062d\u0627\u0641\u0638 \u0639\u0644\u0649 \u062d\u0627\u0644\u0629 \u0627\u0644\u062d\u0631\u0643\u0629 \u0641\u064a \u063a\u064a\u0627\u0628 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u062e\u0627\u0631\u062c\u064a\u0629\u060c \u0648\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0642\u0648\u0629 \u0648\u0627\u0644\u062a\u0633\u0627\u0631\u0639\u060c \u0648\u0627\u0644\u0641\u0639\u0644 \u0648\u0631\u062f \u0627\u0644\u0641\u0639\u0644 \u0628\u064a\u0646 \u0627\u0644\u0623\u062c\u0633\u0627\u0645. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u0645\u062b\u0644\u0629 \u0645\u062b\u0644 \u0627\u0644\u0627\u0646\u0632\u0644\u0627\u0642 \u0639\u0644\u0649 \u0627\u0644\u0623\u0633\u0637\u062d \u0648\u062d\u0631\u0643\u0629 \u0627\u0644\u0628\u0646\u062f\u0648\u0644\u0627\u062a\u060c \u064a\u062a\u0645 \u062a\u0648\u0636\u064a\u062d \u062a\u0637\u0628\u064a\u0642 \u0647\u0630\u0647 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28536,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":22,"footnotes":""},"categories":[657,641],"tags":[],"class_list":["post-28543","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-657","category-641"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u062a\u0635\u0641 \u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u062d\u0631\u0643\u0629 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0648\u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0645\u0624\u062b\u0631\u0629 \u0639\u0644\u064a\u0647\u0627. \u062a\u0646\u0635 \u0627\u0644\u0642\u0627\u0646\u0648\u0646 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