Consider the mechanical system shown in the given figure. If the system is set into motion by unit impulse force, the equation of the resulting oscillation will be:

A. $$x\left( t \right) = \sin t$$
B. $$x\left( t \right) = \sqrt 2 \sin t$$
C. $$x\left( t \right) = \frac{1}{2}\sin 2t$$
D. $$x\left( t \right) = \sin \sqrt 2 t$$
Answer: Option A

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