This paper deals with the stabilizability and stabilization of a rotating body-beam system with torque control. Recent work by Bloch and Titi [4] has shown that this system, which was originally proposed by Baillieul and Levi [1], has a linear inertial manifold. An operator theoretic argument is used to provide an alternative proof of this fact. By taking into account the effect of damping (structural or viscous), we prove the stability result of Baillieul and Levi using the LaSalle principle. We further show that there exists a critical angular velocity for the use of torque control to stabilize the system in the neutral configuration with constant angular velocity. For any constant angular velocity smaller than the critical one, we give a feedback torque control law which exponentially strongly stabilizes the system in the neutral configuration with the system rotating at the given constant angular velocity.