A solid, uniform disk of mass M and radius R is oscillating about an axis through P. The axis is perpendicular to the plane of the disk. Suppose the...

A solid, uniform disk of mass M and radius R is oscillating about an axis through P. The axis is perpendicular to the plane of the disk. Suppose the friction at P can be ignored. The distance from P to the center, C, of the disk is b (see figure 1). The gravitational acceleration is g.

(a). When the displacement angle is , what then is the torque relative to point P?

(b). What is the moment of inertia for rotation about the axis through P?

(c). What is the period of the oscillation?

(d). As the disk oscillates, is there any force that the axis at P exerts on the disk? Explain you answer.