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A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of 0.0850 m, an angular speed of 88.0 rad/s, and a moment of inertia of 0.850 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 two during a time of 4.20 s.

(a) Find the magnitude of the angular deceleration of the cylinder.

(b) Find the magnitude of the force of friction applied by the brake shoe.

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