A cylinder of mass M, radius b, is rolling down an inclined plane as shown in the Figure. The hanging mass is m, and the string and the pulley are of negligible masses. Consider the axis through O', the point of contact. The cylinder is accelerating, and for the case of no slipping (Fp < UsN), Fp is the frictional force.
(1) [4pts] Find the torque about an axis passing through the point of contact O, which is at a distance b from the center.
(2) [6pts] Calculate the center of mass acceleration a_cm using T = I * α.