Question: 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

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.

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

R T

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