An inverted pendulum consisting of a sphere of weight W and a rigid bar ABC of length l and negligible weight is supported by a pin and bracket at C. A spring of constant k is attached to the bar at B and is undeformed when the bar is in the vertical position shown. Determine
(a) the frequency of small oscillations,
(b) the smallest value of a for which these oscillations will occur.
![1590_cb34956e-8fbc-4ae7-aec6-f66cb77da879.png](https://secure.tutorsglobe.com/CMSImages/1590_cb34956e-8fbc-4ae7-aec6-f66cb77da879.png)