A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of 0.130 meter, an angular speed of 66.0 rad/s, and a moment of inertia of 1.23 kg•m2. A brake shoe presses against the surface of the cylinder and applies a tangential frictional force to it. The frictional force reduces the angular speed of the cylinder by a factor of 4 during a time of 4.00 second.
(a) Obtain the magnitude of the angular deceleration of cylinder.
(b) Obtain the magnitude of the force of friction applied by the brake shoe.