SHM - 1

Classical Mechanics Level pending

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

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

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