As illustrated in the figure below, a thin circular telescopic mirror (disk) D of radius ris free to rotate with respect to supporting structure S about axis AB. The support structure S itself is rotating with respect to an inertial frame about the vertical axis with constant angular rate 2. The mass of the rotor is m, its moment of inertia about the 3 axis is mr2, and its moment of inertia about any axis passing through C (the center of mass of the rotor) and orthogonal to d3 is mr. (a) Find 'H, the inertial angular momentum of the mirror about its mass center. (b) Find the equation of motion for the mirror. S I A C g a3 0 22 B D