A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of $0\mathrm{.}0940$ m$,$ an angular speed of $66\mathrm{.}0$ rad$/$s$,$ and a moment of inertia of $\mathrm{.}703$ kgm$^2.$ A brake shoe presses against the surface of the cylinder and applies a tangential friction force to it$.$ The frictional force reduces the angular speed of the cylinder by a factor of $6$ during a time of $4\mathrm{.}00$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