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Rad (2019)

Duration: 6:56

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A simple harmonic oscillator of angular frequency \( 2 \mathrm{rad} \mathrm{s}^{-1} \) is acted upon by an external force \( \mathrm{F}=\sin t \mathrm{~N} \). If the oscillator is at rest in its equilibrium position at \( t=0 \), its position at later times is proportional to
(a) \( \sin t+\frac{1}{2} \cos 2 t \)
(b) \( \cos t-\frac{1}{2} \sin 2 t \)
(c) \( \sin t-\frac{1}{2} \sin 2 t \)
(d) \( \sin t+\frac{1}{2} \sin 2 t \)
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