A solid cylinder of mass \(M\) and radius \(R\) is released from rest at the top of an incline of vertical height \(H\). The incline makes an angle \(\theta\) with the horizontal. The surface of the incline is rough enough that the cylinder rolls down without slipping. The rotational inertia of a solid cylinder about its center is \(I = \dfrac{1}{2}MR^2\).