A simple harmonic oscillator of angular frequency $2 r a d s^{- 1}$ is acted upon by an external force $F = sin t N$ . If the oscillator is at rest in its equilibrium position at $t = 0$ , its position at later times is proportional to

Question

A simple harmonic oscillator of angular frequency

2 r a d s^{- 1}

is acted upon by an external force

F = sin t N

. If the oscillator is at rest in its equilibrium position at

t = 0

, its position at later times is proportional to

Toppr Admin · Accepted Answer

A simple harmonic oscillator of angular frequency 2 rad s−1 is acted upon by an external force F=sintN. If the oscillator is at rest in its equilibrium position at t=0, its position at later times is proportional to sint+12cos2tcost−12sin2tsint−12sin2tsint+12sin2t