# SHM - 1

Classical Mechanics Level pending

A pendulum with a bob of mass $$m$$ and a string of length $$L$$ is displaced from its equilibrium position $$O$$ by a small angle and then released. At the same time, a bob of mass $$M$$ is dropped and falls vertically downwards through a distance $$L$$. A point $$P$$ is directly below bob of mass $$M$$ and it happens to be at the same horizontal level as $$O$$. The dimensions of the two bobs are the same.

Which bob will arrive at its destination first – bob of mass $$m$$ reaching its equilibrium position $$O$$ or bob of mass $$M$$ arriving at the point $$P$$? (Ignore air resistance and you may wish to use: Period of pendulum, T = $$\sqrt{2π(L/g)}$$

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