A cylinder is rotating around an axis which passes via the center of each circular end piece. The cylinder consists of a radius of 0.0600 m, an angular speed of 88.0 rad/s and a moment of inertia of around 0.850 kg•m2. A brake shoe presses against the surface of cylinder and exerts a tangential frictional force to it. The frictional force decreases the angular speed of the cylinder by a factor of two throughout a time of 4.00 s.
(i) Determine the magnitude of the angular deceleration of cylinder.
(ii) Determine the magnitude of the force of friction exerted by the brake shoe.