Consider the mechanical system shown below. If the system is set into motion by unit impulse force,

Question:

Consider the mechanical system shown below. If the system is set into motion by unit impulse force, the equation of the resulting oscillation will be:
(a) $x(t)=\sin t$
(b) $x(t)=\sqrt{2} \sin t$
(c) $x(t)=\frac{1}{2} \sin 2 t$
(d) $x(t)=\sin \sqrt{2} t$

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