a uniform sphere of mass and radius rotates about a vertical axis. assume there is no frictional torque acting along the axis of rotation. the sphere has moment of inertia for an axis through its center of mass. a light string passes around the equator of the sphere, and over a massive pulley of radius and moment of inertia about its center of mass, and the string is attached to a small object of mass . when the small object is released from rest, the string does not slip around the sphere or pulley, and the small object falls vertically downward. what is the magnitude of the acceleration of the small object after it is released? the downward gravitational acceleration has magnitude . express your answer in terms of m s for , m 1 for , i for , , , and as needed.