{"id":177,"date":"2022-03-24T02:15:43","date_gmt":"2022-03-24T02:15:43","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=177"},"modified":"2022-03-23T20:45:07","modified_gmt":"2022-03-23T20:45:07","slug":"rotational-motion","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/rotational-motion\/","title":{"rendered":"\u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0997\u09a4\u09bf (Rotational motion)"},"content":{"rendered":"\r\n

\u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7 (Axis of rotation)<\/h3>\r\n\r\n\r\n\r\n

\u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u0996\u09a8 \u0998\u09c1\u09b0\u09c7 \u09a4\u0996\u09a8 \u09a4\u09be\u09b0 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995\u099f\u09bf \u0995\u09a3\u09be \u0995\u09cb\u09a8\u09cb \u09a8\u09be \u0995\u09cb\u09a8\u09cb \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0995\u09c7 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u0995\u09b0\u09c7 \u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u09aa\u09a5\u09c7 \u0998\u09c1\u09b0\u09c7\u0964 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8\u09b6\u09c0\u09b2 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995\u099f\u09bf \u0995\u09a3\u09be\u09b0 \u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u0997\u09a4\u09bf\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u0997\u09c1\u09b2\u09cb \u09af\u09c7 \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u09af\u09bc \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09a4\u09be\u0995\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7<\/strong> \u09ac\u09b2\u09c7\u0964 \u098f\u0995\u099f\u09bf \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u09af\u09bc\u09ae\u09be\u09a8 \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995\u099f\u09bf \u0995\u09a3\u09be \u09a5\u09c7\u0995\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u0989\u09aa\u09b0 \u0985\u0999\u09cd\u0995\u09bf\u09a4 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09b2\u09ae\u09cd\u09ac \u098f\u0995\u0987 \u09b8\u09ae\u09af\u09bc \u09b8\u09ae\u09be\u09a8 \u0995\u09cb\u09a3 \u0985\u09a4\u09bf\u0995\u09cd\u09b0\u09ae \u0995\u09b0\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 (Moment of Inertia) :<\/h3>\r\n\r\n\r\n\r\n

\u09af\u0996\u09a8 \u0995\u09cb\u09a8\u09cb \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1 \u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u0985\u0995\u09cd\u09b7\u09c7 \u0986\u09ac\u09a6\u09cd\u09a7 \u09a5\u09be\u0995\u09c7, \u09a4\u0996\u09a8 \u0990 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u09ac\u09b2 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u0997 \u0995\u09b0\u09b2\u09c7, \u0986\u09ac\u09a6\u09cd\u09a7 \u09a5\u09be\u0995\u09be\u09b0 \u0995\u09be\u09b0\u09a3\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u09df \u099a\u09b2\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u09a8\u09be\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 \u0998\u09cb\u09b0\u09c7 \u098f\u09ac\u0982 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u0995\u09a3\u09be\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09b8\u09b0\u09a3 \u09b9\u09af\u09bc\u0964 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u098f \u09a7\u09b0\u09a8\u09c7\u09b0 \u0997\u09a4\u09bf\u0995\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u09ac\u09be \u0986\u09ac\u09b0\u09cd\u09a4 \u0997\u09a4\u09bf<\/strong> (Rotational motion) \u09ac\u09b2\u09c7\u0964 \u0985\u0995\u09cd\u09b7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09c7\u09a4\u09b0\u09c7 \u09ac\u09be \u09ac\u09be\u0987\u09b0\u09c7 \u09a5\u09be\u0995\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u0993 \u0995\u09cc\u09a3\u09bf\u0995 \u09ad\u09b0\u09ac\u09c7\u0997 (Moment of inertia & angular momentum)<\/h3>\r\n\r\n\r\n\r\n

\u098f\u0995\u099f\u09bf \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1 \u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09b8\u09cd\u09a5\u09bf\u09b0 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 \u0986\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09b9\u09a4\u09c7 \u09a5\u09be\u0995\u09b2\u09c7 \u0990 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995<\/strong> \u09ac\u09b2\u09a4\u09c7 \u0985\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u0995\u09a3\u09be\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7\u09b0 \u09ac\u09b0\u09cd\u0997 \u0993 \u0995\u09a3\u09be\u099f\u09bf\u09b0 \u09ad\u09b0\u09c7\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2\u09c7\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf\u0995\u09c7 \u09ac\u09c1\u099d\u09be\u09af\u09bc\u0964<\/p>\r\n\r\n\r\n\r\n

\r\n
\"\"<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be :<\/strong> \u09ae\u09a8\u09c7 \u0995\u09b0\u09bf ? \u098f\u0995\u099f\u09bf \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1 [\u099a\u09bf\u09a4\u09cd\u09b0]\u0964 \u098f\u099f\u09bf \u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u0985\u0995\u09cd\u09b7 ?? -\u098f\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 ? \u09b8\u09ae\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09c7\u0997\u09c7 \u0998\u09c1\u09b0\u099b\u09c7\u0964 \u09af\u09a6\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u00a0 m_1 ,\u00a0 ?_2, \u00a0 ?_3 \u2026\u2026\u2026\u2026..\u00a0 ?_?<\/span>\u00a0 \u09ad\u09b0\u09c7\u09b0 \u0985\u09b8\u0982\u0996\u09cd\u09af \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf \u09b9\u09af\u09bc \u098f\u09ac\u0982 \u09ad\u09b0\u0997\u09c1\u09b2\u09cb \u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7\u00a0 ?_1, \u00a0 ?_2, \u00a0 ?_3\u2026\u2026\u2026\u2026.\u00a0 ?_?<\/span>\u00a0 \u09a6\u09c2\u09b0\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09b8\u0982\u099c\u09cd\u099e\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u0990 \u0985\u0995\u09cd\u09b7 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7,<\/p>\r\n\r\n\r\n\r\n

\u09aa\u09cd\u09b0\u09a5\u09ae \u0995\u09a3\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 = ?_1\u00a0 ?_1^2<\/span><\/p>\r\n\r\n\r\n\r\n

\u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09af\u09bc \u0995\u09a3\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 = ?_2\u00a0 ?_2^2<\/span><\/p>\r\n\r\n\r\n\r\n

\u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u0995\u09a3\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 = ?_3\u00a0 ?_3^2<\/span><\/p>\r\n\r\n\r\n\r\n

\u0993 ?-\u09a4\u09ae \u0995\u09a3\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 = ?_n\u00a0 ?_n^2<\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09a4\u098f\u09ac, \u09b8\u0982\u099c\u09cd\u099e\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u09b8\u09ae\u0997\u09cd\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u0990 \u0985\u0995\u09cd\u09b7 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995,<\/p>\r\n\r\n\r\n\r\n I =m_1 r_1^2 + m_2 r_2^2 + m_3 r_3^2 + \u2026\u2026\u2026 + m_n r_n^2<\/span>\r\n\r\n\r\n\r\n

=\u00a0 \\sum_{i=1}^n m_i r_i^2 <\/span>\u200a \u00a0\u00a0\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026.(4.16)<\/p>\r\n\r\n\r\n\r\n

[\u00a0 \\sum_{i=1}^n <\/span>\u200a\u00a0 \u099a\u09bf\u09b9\u09cd\u09a8 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf \u09ac\u09c1\u099d\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 ]<\/p>\r\n\r\n\r\n\r\n

\u09b8\u09ae\u09be\u0995\u09b2\u09a8\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09a8\u09bf\u09ae\u09cd\u09a8\u09cb\u0995\u09cd\u09a4 \u09ad\u09be\u09ac\u09c7 \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc,<\/p>\r\n\r\n\r\n\r\n

I = \\int r^2 dm<\/span> \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026.(4.17)<\/p>\r\n\r\n\r\n\r\n

\u098f\u0996\u09be\u09a8\u09c7 ?? \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u0985\u09a4\u09bf \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u0985\u0982\u09b6\u09c7\u09b0 \u09ad\u09b0 \u098f\u09ac\u0982 ? \u09b9\u099a\u09cd\u099b\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u0990 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u0985\u0982\u09b6\u099f\u09bf\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u0964<\/p>\r\n\r\n\r\n\r\n

\u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u09c7\u09b0 \u098f\u0995\u0995 \u0993 \u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (Unit and dimension of moment of inertia) :<\/h3>\r\n\r\n\r\n\r\n

\u098f\u09ae. \u0995\u09c7. \u098f\u09b8. \u0993 \u098f\u09b8. \u0986\u0987. \u098f\u0995\u0995\u09c7 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u09c7\u09b0 \u098f\u0995\u0995 \u0995\u09bf\u09b2\u09cb\u0997\u09cd\u09b0\u09be\u09ae-\u09ae\u09bf\u099f\u09be\u09b0^2 (kg-m^2)<\/span> \u0964 \u098f\u09b0 \u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u00a0 ?\u00a0 = [ \u09ad\u09b0\u00d7 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac^2 ] =[\u00a0 ??^2 ] <\/span><\/p>\r\n\r\n\r\n\r\n

\u099a\u0995\u09cd\u09b0\u0997\u09a4\u09bf\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 (Radius of gyration)<\/h3>\r\n\r\n\r\n\r\n

\u0995\u09cb\u09a8\u09cb \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ae\u09cb\u099f \u09ad\u09b0\u0995\u09c7 \u09af\u09a6\u09bf \u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09c2\u09ad\u09c2\u09a4 \u09a7\u09b0\u09be \u09b9\u09af\u09bc \u09af\u09be\u09a4\u09c7 \u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u0990 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09c0\u09ad\u09c2\u09a4 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u0985\u0995\u09cd\u09b7 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09b8\u09ae\u0997\u09cd\u09b0 \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8 \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc,<\/p>\r\n\r\n\r\n\r\nI = \\sum m r^2 = MK^2 <\/span>\r\n\r\n\r\n\r\n

\u098f\u0996\u09be\u09a8\u09c7, M = \\sum m <\/span> = \u09b8\u09ae\u0997\u09cd\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0<\/p>\r\n\r\n\r\n\r\n

\u098f\u09ac\u0982 K= \u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u09af\u09c7 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09ae\u0997\u09cd\u09b0 \u09ad\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09c0\u09ad\u09c2\u09a4 \u0986\u099b\u09c7, \u0990 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u0964<\/p>\r\n\r\n\r\n\r\n

K-\u0995\u09c7 \u099a\u0995\u09cd\u09b0\u0997\u09a4\u09bf\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7<\/strong> \u09ac\u09b2\u09be \u09b9\u09af\u09bc\u0964<\/p>\r\n\r\n\r\n\r\n

\u0985\u09a4\u098f\u09ac, \u099a\u0995\u09cd\u09b0\u0997\u09a4\u09bf\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7\u09c7\u09b0 \u09a8\u09bf\u09ae\u09cd\u09a8\u09cb\u0995\u09cd\u09a4 \u09b8\u0982\u099c\u09cd\u099e\u09be \u09a6\u09c7\u09af\u09bc\u09be \u09af\u09be\u09af\u09bc :<\/p>\r\n\r\n\r\n\r\n

\u09b8\u0982\u099c\u09cd\u099e\u09be :<\/strong> \u09af\u09a6\u09bf \u0995\u09cb\u09a8\u09cb \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09af\u09c7\u0996\u09be\u09a8\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09b8\u09ae\u09b8\u09cd\u09a4 \u09ad\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09c0\u09ad\u09c2\u09a4 \u0986\u099b\u09c7 \u09a7\u09b0\u09be \u09b9\u09af\u09bc \u098f\u09ac\u0982 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u0990 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09b8\u09ae\u0997\u09cd\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8 \u09b9\u09af\u09bc, \u09a4\u09ac\u09c7 \u0985\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u0990 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u0995\u09c7 \u099a\u0995\u09cd\u09b0\u0997\u09a4\u09bf\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7<\/strong> \u09ac\u09b2\u09be \u09b9\u09af\u09bc\u0964<\/p>\r\n\r\n\r\n\r\n

\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (4.18) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987, K = \\sqrt{\\frac{1}{M}}<\/span> \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026(4.19)<\/p>\r\n\r\n\r\n\r\n

\u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u099a\u0995\u09cd\u09b0\u0997\u09a4\u09bf\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 0.2m \u09ac\u09b2\u09a4\u09c7 \u09ac\u09c1\u099d\u09be\u09af\u09bc \u09af\u09c7 \u0990 \u0985\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 0.2m \u09a6\u09c2\u09b0\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09b8\u09ae\u0997\u09cd\u09b0 \u09ad\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09c0\u09ad\u09c2\u09a4 \u0986\u099b\u09c7 \u09ac\u09bf\u09ac\u09c7\u099a\u09a8\u09be \u0995\u09b0\u09c7 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09b2\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09ae\u09cb\u099f \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09ac\u09c7\u0964<\/p>\r\n","protected":false},"excerpt":{"rendered":"

\u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7 (Axis of rotation) \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u0996\u09a8 \u0998\u09c1\u09b0\u09c7 \u09a4\u0996\u09a8 \u09a4\u09be\u09b0 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995\u099f\u09bf \u0995\u09a3\u09be \u0995\u09cb\u09a8\u09cb \u09a8\u09be \u0995\u09cb\u09a8\u09cb \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0995\u09c7 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u0995\u09b0\u09c7 \u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u09aa\u09a5\u09c7 \u0998\u09c1\u09b0\u09c7\u0964 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8\u09b6\u09c0\u09b2 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995\u099f\u09bf \u0995\u09a3\u09be\u09b0 \u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u0997\u09a4\u09bf\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u0997\u09c1\u09b2\u09cb \u09af\u09c7 \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u09af\u09bc \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09a4\u09be\u0995\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8 \u0985\u0995\u09cd\u09b7 \u09ac\u09b2\u09c7\u0964 \u098f\u0995\u099f\u09bf \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u09af\u09bc\u09ae\u09be\u09a8 \u09a6\u09c3\u09a2\u09bc<\/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":[50,4235,3028,51],"tags":[35,40,37,39,36,38],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/177"}],"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=177"}],"version-history":[{"count":15,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/177\/revisions"}],"predecessor-version":[{"id":11599,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/177\/revisions\/11599"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=177"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}