PHYS 115, IVIechauics: Problem Set 9 1} Consider a physical pendulum consisting of a thin ll] l-Lg rod of length 5E! cm joined to a 31} kg solid sphere of radius 13cm, such that the centre of the sphere lics in line with the axis of the rod. Assume the pivot is frictionless. {a} Calculate the distance between the centre of mass of the entire pendulum and the pivot. (b) Calculate the moment of inertia about the pivot, I01 and about the centre of mass, fem. You can use anyr of the results provided in the lectures. (c) Given that the center of the sphere is moving at mfs as drawn, calculate the econlponent of angular n1omentun1._ rst using L3, = [AIL] and then using L'g = iii-lazy\" K cm ' k +wIc-m Hint: use the sign convention T.vhere l; points out of the page and m E fl" is positive for counterclockwise rotations