A pendulum of length L and mass M has two (2) identical springs connected to it as shown. Assume the same constant k for both springs. Find the frequency of vibration of the system for small values of the amplitude (small θ). Assume the vertical suspension rod of length L is rigid, but ignore its mass.

A pendulum of length L and mass M has two (2) identical springs connected to it as shown. Assume the same constant k for both springs. Find the frequency of vibration of the system for small values of the amplitude (small θ). Assume the vertical suspension rod of length L is rigid, but ignore its mass.