A spring having a stiffness k = 100 lb/ft and a cylinder weighing 100 lb are attached to t...

A spring having a stiffness k = 100 lb/ft and a cylinder weighing 100 lb are attached to the smooth collar. Determine the smallest angle θ for equilibrium and investigate the stability at the equilibrium position. The spring has an unstretched length of 2 ft. Neglect the weight of the collar.