Question

small bob of mass m tied to an inextensible of length 1 is slightly displaced from its lower most point. show that the motion is in shm​

Answer 1

$\underline{ \boxed{ \bold{ \mathfrak{ \huge{ \purple{Answer}}}}}} \\ \\ : \implies \rm \: for \: executing \: SHM \: a \: particle \: may \\ \rm \: start \: swinging \: from \: mean \: position. \\ \\ : \implies \rm \: after \: slightly \: displaced \: bob \: from \\ \rm \: it's \: mean \: position \: force \: will \: act \: at \: backward \\ \rm \: direction. \\ \\ : \implies \rm \: in \: SHM \: direction \: of \: displacement \: is \\ \rm \: always \: opposite \: of \: direction \: of \: force. \\ \\: \implies \rm \: motion \: in \: which \: force \: is \: directly \: proposnal \\ \rm \: to \: force \: is \: called \: as \: SHM. \\ \\ : \implies \rm \: it \: is \: also \: called \: as \: free - fro \: motion \\ \rm \: around \: mean \: position. \\ \\ : \implies \rm \: for \: SHM \: \boxed{ \rm{\red{ F \propto \: - x}}} \\ \\ : \implies \rm \: negative \: sign \: shows \: opposite \: direction.$