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A simple harmonic oscillator of angular ...

A simple harmonic oscillator of angular frequency `2 "rad" s^(-1)` is acted upon by an external force `F = sint N`. If the oscillator is at rest in its equilibrium position at `t = 0`, its position at later times is proportional to :-

A

`cos t - (1/2) sin 2 t`

B

`sin t + (1/2) cot 2 t`

C

`sin t + (1/2) sin 2 t`

D

`sin t - (1/2) sin 2 t`

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