# 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 = \(\sqrt{2π(L/g)}\)