A heavy, uniform cylinder has a mass m and a radius R (Figure). It is accelerated by a force T, which is applied through a rope wound around a light drum of radius r that is attached to the cylinder. The coefficient of static friction is sufficient for the cylinder to roll without slipping.

(a) Find the frictional force.

(b) Find the acceleration a of the center of the cylinder.

(c) Is it possible to choose r so that a is greater than T/m? How?

(d) What is the direction of the frictional force in the circumstances of part (c)?

Transcribed Image Text:

R T