{"id":281,"date":"2022-03-24T02:10:34","date_gmt":"2022-03-24T02:10:34","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=281"},"modified":"2022-03-30T18:31:01","modified_gmt":"2022-03-30T12:31:01","slug":"theorems-relating-moment-of-inertia","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/theorems-relating-moment-of-inertia\/","title":{"rendered":"\u099c\u09dc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09b8\u0982\u0995\u09cd\u09b0\u09be\u09a8\u09cd\u09a4 \u09a6\u09c1\u099f\u09bf \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af |Two theorems relating moment of inertia"},"content":{"rendered":"\r\n

\u099c\u09dc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09b8\u0982\u0995\u09cd\u09b0\u09be\u09a8\u09cd\u09a4 \u09a6\u09c1\u099f\u09bf \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af (Two theorems relating moment of inertia)<\/h2>\r\n

\u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09ac\u09bf\u09b6\u09c7\u09b7 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995(moment of inertia)<\/a> \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u09b8\u09b9\u099c \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af\u00a0 \u0986\u099b\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af \u09a6\u09c1\u099f\u09bf\u09b0 \u098f\u0995\u099f\u09bf\u0995\u09c7 (\u09e7) \u09b2\u09ae\u09cd\u09ac \u0985\u0995\u09cd\u09b7\u09b8\u09ae\u09c2\u09b9\u09c7\u09b0 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af<\/strong> \u098f\u09ac\u0982 \u0985\u09aa\u09b0\u099f\u09bf\u0995\u09c7 (\u09e8) \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u0985\u0995\u09cd\u09b7\u09b8\u09ae\u09c2\u09b9\u09c7\u09b0 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af<\/strong> \u09ac\u09b2\u09c7\u0964 \u09a8\u09bf\u09ae\u09cd\u09a8\u09c7 \u09aa\u09be\u09a4 \u0986\u0995\u09c3\u09a4\u09bf\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af \u09a6\u09c1\u099f\u09bf \u0986\u09b2\u09cb\u099a\u09a8\u09be \u0995\u09b0\u09be \u09b9\u09b2\u09cb\u0964<\/p>\r\n\r\n\r\n\r\n

\u09e7) \u09b2\u09ae\u09cd\u09ac \u0985\u0995\u09cd\u09b7\u09b8\u09ae\u09c2\u09b9\u09c7\u09b0 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af<\/h3>\r\n

\u0995\u09cb\u09a8\u09cb \u09aa\u09be\u09a4\u09b2\u09be \u09b8\u09ae\u09a4\u09b2 \u09aa\u09be\u09a4\u09c7\u09b0 \u09a4\u09b2\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09a6\u09c1\u099f\u09bf \u09aa\u09b0\u09b8\u09cd\u09aa\u09b0 \u09b2\u09ae\u09cd\u09ac \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09aa\u09be\u09a4\u099f\u09bf\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u09a6\u09cd\u09ac\u09af\u09bc\u09c7\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf \u0990 \u09aa\u09be\u09a4\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09a6\u09c1\u0987 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u099b\u09c7\u09a6 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u0985\u0999\u09cd\u0995\u09bf\u09a4 \u09b2\u09ae\u09cd\u09ac \u0985\u0995\u09cd\u09b7 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09aa\u09be\u09a4\u099f\u09bf\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8 \u09b9\u09ac\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be :<\/strong> \u09ae\u09a8\u09c7 \u0995\u09b0\u09bf \u0995\u09cb\u09a8\u09cb \u09b8\u09ae\u09a4\u09b2 \u09aa\u09be\u09a4\u09c7\u09b0 \u0989\u09aa\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09a6\u09c1\u099f\u09bf \u09b2\u09ae\u09cd\u09ac \u0985\u0995\u09cd\u09b7 ?? \u098f\u09ac\u0982 ?? \u09ac\u09b0\u09be\u09ac\u09b0 \u098f\u09a6\u09c7\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7\u00a0I_x<\/span> \u0993\u00a0I_y<\/span>\u0964 \u09a7\u09b0\u09bf \u0990 \u09aa\u09be\u09a4\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09a6\u09c1\u0987 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u099b\u09c7\u09a6 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u0985\u0999\u09cd\u0995\u09bf\u09a4 \u09b2\u09ae\u09cd\u09ac ?? \u09ac\u09b0\u09be\u09ac\u09b0 \u09aa\u09be\u09a4\u09c7\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u00a0I_z<\/span>\u0964 \u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7 \u09af\u09c7,\u00a0I_x+I_y=I_z<\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u0999\u09cd\u0995\u09a8 :<\/strong> \u098f\u0995\u099f\u09bf \u09aa\u09be\u09a4\u09b2\u09be \u09b8\u09ae\u09a4\u09b2 \u09aa\u09be\u09a4 \u09a8\u09bf\u0987\u0964 \u098f\u0987 \u09aa\u09be\u09a4\u09c7\u09b0 \u0989\u09aa\u09b0 ?? \u098f\u09ac\u0982 ?? \u09a6\u09c1\u099f\u09bf \u09aa\u09b0\u09b8\u09cd\u09aa\u09b0 \u09b2\u09ae\u09cd\u09ac \u0985\u0999\u09cd\u0995\u09a8 \u0995\u09b0\u09bf [\u099a\u09bf\u09a4\u09cd\u09b0 \u09ea.\u09e8\u09ec]\u0964<\/p>\r\n\r\n\r\n\r\n

\r\n
\"theorems-relating-moment-of-inertia\"<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n

\u098f\u0996\u09a8 ?? \u098f\u09ac\u0982 ?? \u0985\u0995\u09cd\u09b7 \u09a6\u09c1\u099f\u09bf\u09b0 \u099b\u09c7\u09a6 ?-\u09a4\u09c7 \u09aa\u09be\u09a4\u09c7\u09b0 \u0989\u09aa\u09b0 \u09b2\u09ae\u09cd\u09ac \u099f\u09be\u09a8\u09bf\u0964<\/p>\r\n\r\n\r\n\r\n

\u09aa\u09cd\u09b0\u09ae\u09be\u09a3 :<\/strong> \u09b8\u09ae\u09a4\u09b2 \u09aa\u09be\u09a4\u09c7\u09b0 \u0989\u09aa\u09b0 ? \u098f\u0995\u099f\u09bf \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a8\u09bf\u0987 \u09af\u09be\u09b0 \u09ad\u09c1\u099c \u0995\u09cb\u099f\u09bf ?, ? \u098f\u09ac\u0982 ?\u0964 \u098f\u0996\u09a8 ? \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 ? \u09ad\u09b0\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u0995\u09a3\u09be \u09ac\u09bf\u09ac\u09c7\u099a\u09a8\u09be \u0995\u09b0\u09bf\u0964 ?? \u0985\u0995\u09cd\u09b7 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u0995\u09a3\u09be\u099f\u09bf\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 =mz^2<\/span>\u0964<\/p>\r\n\r\n\r\n\r\n

\u2234 OZ \u0985\u0995\u09cd\u09b7 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09b8\u09ae\u0997\u09cd\u09b0 \u09aa\u09be\u09a4\u09c7\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995<\/p>\r\n\r\n\r\n\r\n

I_2 = \\sum m z^2 = \\sum m (x^2 +y^2) = \\sum mx^2 + \\sum my^2<\/span>\u2026\u2026\u2026\u2026\u2026(4.37)<\/p>\r\n\r\n\r\n\r\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1, \\sum my^2 = I_x<\/span> \u098f\u09ac\u0982 \\sum mx^2 = I_y<\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09a4\u098f\u09ac \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (4.37) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987<\/p>\r\n\r\n\r\n\r\nI_z = I_y + I_z<\/span>\r\n\r\n\r\n\r\n

\u2234 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af\u099f\u09bf \u09aa\u09cd\u09b0\u09ae\u09be\u09a3\u09bf\u09a4 \u09b9\u09b2\u09cb\u0964<\/p>\r\n\r\n\r\n\r\n

(2) \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u0985\u0995\u09cd\u09b7\u09b8\u09ae\u09c2\u09b9\u09c7\u09b0 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af<\/h2>\r\n

<\/p>\r\n

\u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u0995\u09cb\u09a8\u09cb \u09b8\u09ae\u09a4\u09b2 \u09aa\u09be\u09a4\u09b2\u09be \u09aa\u09be\u09a4\u09c7\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995(moment of inertia) \u09aa\u09be\u09a4\u099f\u09bf\u09b0 \u09ad\u09be\u09b0\u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u0997\u09be\u09ae\u09c0 \u09a4\u09be\u09b0 \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u098f\u09ac\u0982 \u09aa\u09be\u09a4\u09c7\u09b0 \u09ad\u09b0 \u0993 \u0990 \u09a6\u09c1\u0987 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09ac\u09b0\u09cd\u09a4\u09c0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7\u09b0 \u09ac\u09b0\u09cd\u0997\u09c7\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2\u09c7\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/h2>\r\n\r\n\r\n\r\n

\u09ac\u09cd\u09af\u09be\u0996\u09be :<\/strong> \u09a7\u09b0\u09be \u09af\u09be\u0995 \u0995\u09be\u0997\u099c\u09c7\u09b0 \u09a4\u09b2\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 ?? \u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u0985\u0995\u09cd\u09b7 \u098f\u09ac\u0982 ?? \u09a4\u09be\u09b0 \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u0986\u09b0 \u098f\u0995\u099f\u09bf \u0985\u0995\u09cd\u09b7\u0964 ?? \u0985\u0995\u09cd\u09b7\u099f\u09bf ? \u09ad\u09b0\u09c7\u09b0 \u09aa\u09be\u09a4\u09b2\u09be \u09b8\u09ae\u09a4\u09b2 \u09aa\u09be\u09a4\u09c7\u09b0 \u09ad\u09be\u09b0\u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 ? \u09a6\u09bf\u09af\u09bc\u09c7 \u0985\u09a4\u09bf\u0995\u09cd\u09b0\u09be\u09a8\u09cd\u09a4 [\u099a\u09bf\u09a4\u09cd\u09b0 \u09ea.\u09e8\u09ed]\u0964 \u09af\u09a6\u09bf \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u0985\u0995\u09cd\u09b7\u09a6\u09cd\u09ac\u09af\u09bc ?? \u0993 ??-\u098f\u09b0 \u09ae\u09a7\u09cd\u09af\u09ac\u09b0\u09cd\u09a4\u09c0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u210e \u098f\u09ac\u0982 ?? \u0993 ??-\u098f\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09aa\u09be\u09a4\u099f\u09bf\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 ? \u0993 I_G<\/span> \u09b9\u09af\u09bc \u09a4\u09ac\u09c7 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7 \u09af\u09c7, I = I_G + Mh^2<\/span><\/p>\r\n\r\n\r\n\r\n

\r\n

\"theorems-relating-moment-of-inertia\"<\/p>\r\n<\/div>\r\n\r\n\r\n\r\n

\u09aa\u09cd\u09b0\u09ae\u09be\u09a3 :<\/strong> \u09a7\u09b0\u09bf \u09aa\u09be\u09a4\u099f\u09bf m_1, m_2, m_3<\/span> \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf \u09ad\u09b0\u09c7\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u09b0 \u09b8\u09ae\u09a8\u09cd\u09ac\u09af\u09bc\u09c7 \u0997\u09a0\u09bf\u09a4\u0964 ?? \u0985\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u0995\u09a3\u09be\u0997\u09c1\u09b2\u09cb\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 x_1, x_2, x_3<\/span> \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf\u0964 \u09a4\u09be \u09b9\u09b2\u09c7 ?? \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7\u00a0m_1<\/span> \u09ad\u09b0\u09c7\u09b0 \u0995\u09a3\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995<\/p>\r\n\r\n\r\n\r\n= m_1(x_1+h)^2 = m_1 x_1^2 + m_1 h^2 + 2 m_1 x_1 h<\/span>\r\n\r\n\r\n\r\n

\u0985\u09a8\u09c1\u09b0\u09c2\u09aa\u09ad\u09be\u09ac\u09c7 ?? \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7\u00a0m_2<\/span> \u09ad\u09b0\u09c7\u09b0 \u0995\u09a3\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995<\/p>\r\n\r\n\r\n\r\n= m_2(x_2+h)^2 = m_2 x_2^2 + m_2 h^2 + 2 m_2 x_2 h<\/span>\r\n\r\n\r\n\r\n

\u00a0m_3<\/span> \u09ad\u09b0\u09c7\u09b0 \u0995\u09a3\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995<\/p>\r\n\r\n\r\n\r\n

= m_3(x_3+h)^2 = m_3 x_3^2 + m_3 h^2 + 2 m_3 x_3 h<\/span> \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf\u0964<\/p>\r\n\r\n\r\n\r\n

\u2234?? \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09b8\u09ae\u0997\u09cd\u09b0 \u09aa\u09be\u09a4\u09c7\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 I \u09b9\u09b2\u09c7 \u0989\u09aa\u09b0\u09cb\u0995\u09cd\u09a4 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/p>\r\n\r\n\r\n\r\nI= m_1(x_1+h)^2 = m_1 x_1^2 + m_1 h^2 + 2 m_1 x_1 h + m_2 x_2^2 + m_2 h^2 + 2 m_2 x_2 h + m_3(x_3+h)^2 = m_3 x_3^2 + m_3 h^2 + 2 m_3 x_3 h <\/span>\r\n\r\n\r\n\r\n= \\sum m x^2 + h_2 \\sum m + 2h \\sum mx<\/span>\r\n\r\n\r\n\r\n

\u098f\u0996\u09be\u09a8\u09c7, \u03a3??=?? \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09b8\u09ae\u0997\u09cd\u09b0 \u09aa\u09be\u09a4\u09c7\u09b0 \u09ad\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09b8\u09ae\u0997\u09cd\u09b0 \u09aa\u09be\u09a4\u09c7\u09b0 \u0993\u099c\u09a8 ? \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a6\u09bf\u09af\u09bc\u09c7 ?? \u09b0\u09c7\u0996\u09be \u09ac\u09b0\u09be\u09ac\u09b0 \u09a8\u09bf\u09ae\u09cd\u09a8\u09ae\u09c1\u0996\u09c7 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be \u0995\u09b0\u09be\u09af\u09bc ?? \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09aa\u09be\u09a4\u099f\u09bf\u09b0 \u09ad\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995,<\/p>\r\n\r\n\r\n\r\n

\u03a3??=0 \u0986\u09ac\u09be\u09b0 \u03a3?=M \u0993\u00a0I_G = \\sum mx^2<\/span><\/p>\r\n\r\n\r\n\r\n\\therefore I = I_G + Mh^2<\/span>\r\n","protected":false},"excerpt":{"rendered":"

\u099c\u09dc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09b8\u0982\u0995\u09cd\u09b0\u09be\u09a8\u09cd\u09a4 \u09a6\u09c1\u099f\u09bf \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af (Two theorems relating moment of inertia) \u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09ac\u09bf\u09b6\u09c7\u09b7 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995(moment of inertia) \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u09b8\u09b9\u099c \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af\u00a0 \u0986\u099b\u09c7\u0964 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af \u09a6\u09c1\u099f\u09bf\u09b0 \u098f\u0995\u099f\u09bf\u0995\u09c7 (\u09e7) \u09b2\u09ae\u09cd\u09ac \u0985\u0995\u09cd\u09b7\u09b8\u09ae\u09c2\u09b9\u09c7\u09b0 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af \u098f\u09ac\u0982 \u0985\u09aa\u09b0\u099f\u09bf\u0995\u09c7 (\u09e8) \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u0985\u0995\u09cd\u09b7\u09b8\u09ae\u09c2\u09b9\u09c7\u09b0 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4238,3028,50,51],"tags":[40,906,907,905],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/281"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=281"}],"version-history":[{"count":10,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/281\/revisions"}],"predecessor-version":[{"id":12450,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/281\/revisions\/12450"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}