Question

Find the time period of mass M when displaced from its equilibrium positon and then released for the system shown in Fig 14.10.

Answer 1

If mass m moves down by h, then the spring extends by 2h (because each side expands by h). The tension along the string and spring is the same. In equilibrium mg = 2 (k. 2h) where k is the spring constant. On pulling the mass down by x,