a) show that the energy of a rolling body which is not slipping is equivalent to that of pure rotatioin with the same angular speed about an axis through the point of contact of the rolling body.
b) Show that the angular momentum of a body of mass M which is rolling without slippint about any point is equal to its angular momentum about its center plus the moment of momentum of a particle of the same mass M concentrated at its center and moving with the speed of the center of the mass of the body about the same point