question_answer

A simple harmonic oscillator of angular frequency \[2rad\,{{s}^{-1}}\]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: JEE Main Online Paper (Held On 10 April 2015)

A) \[\sin t+\frac{1}{2}\cos 2t\]        

B) \[\sin t-\frac{1}{2}\sin 2t\]

C)  \[\cot t-\frac{1}{2}\sin 2t\]        

D) \[\sin t+\frac{1}{2}\sin 2t\]