A thin cylindrical rod with l = 24.0cm with m = 1.20kghas a ball of diameter d = 8.00cm with mass M = 2.00kg attached to one end. The arrangement is initially vertical and stationary, with the ball at the top. The combination in free to pivot regarding the bottom end of the rod after given a slight nudge.
a) After the combination rotates through 90 degrees, what is its rotational kinetic energy?
b) What is the angular speed of the rod and ball?
c) What is the linear speed of the center of mass of the ball?
d) How does it compare with the speed had the ball fallen freely through the same distance of 28cm?