A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia lp for rotation about the pivot is usually approximated as ML
(a) Use the parallel-axis theorem to show that if R is S% of L and the mass of the rod is ignored, lp is only 0.1 % greater than ML
(b) If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of l rod for an axis at the pivot to ML 2?