A thin light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.75kg having inner 20.0m and outer 35.0m radii. The cylinder is then released from rest. (a) How far must the cylinder fall before its center is moving at 6.66m/s? (b) If you just dropped this cylinder without any string, how fast would its center be moving when it had fallen the distance in part (a)? Why do you get two different answers when the cylinder falls the same distance in both courses?

A solid cylinder (I = MR2/2) has a string wrapped around it many times. When I release the cylinder, holding on to the string, the cylinder falls and spins as the string unwinds. What is the downward acceleration of the cylinder as it falls?

A string is wrapped around a uniform cylinder of mass M and radius R. The cylinder is released from rest with the string vertical and it's top-end tied to a fixed bar. Show that the tension in the string is one-third of the weight of the cylinder.

A string is wrapped around a uniform cylinder of mass M and radius R. The cylinder is released from rest with the string vertical and it's top-end tied to a fixed bar (Fig. P8.90). Show that (a) the tension in the string is one-third the weight of the cylinder, (b) the magnitude of the acceleration of the center of gravity is 2g/3.