A particle of mass … is attached to a spring (of spring constant …) and has a natural angular frequency … An external force … proportional to … is applied to the oscillator. The time displacement of the oscillator will be proportional to

Option B. Given that, initial angular velocity = …

Simple Harmonic Motion

JEE Main 2004 · Annual, Paper 1 · Q8184

PhysicsMedium100×since 2002Q8184

A particle of mass

m

is attached to a spring (of spring constant

k

) and has a natural angular frequency

{\omega _0}.

An external force

F(t)

proportional to

\cos \,\omega t\left( {\omega \ne {\omega _0}} \right)

is applied to the oscillator. The time displacement of the oscillator will be proportional to