A thin, cylindrical rod script l = 23.6 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being 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 to wh

Question

A thin, cylindrical rod script l = 23.6 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being 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 to wh

anonymous · Answer

I have solved part a. Need help on the rest, please
a) Ei = mg(L/2) + Mg(L+r)
rotational KE = mg(L/2) + Mg(L+r) = 6.99J