Avery light, inextensible string is wrapped around a cylindrical spool. the end of the string is held fixed, and the spool is released so it starts falling, as the string unwinds. because the spool is basically hollow, you can take its moment of inertia to be i = mr2.

(a) draw an extended free-body diagram for the spool as it unrolls.
(b) find the linear acceleration of the spool as it accelerates toward the ground.
(c) let the mass of the spool be 0.1kg. what is its translational kinetic energy after it has fallen for 0.5 s?
(d) what is its rotational kinetic energy at that time?
(e) what is the tension in the string? does this change as the spool falls? (remember the mass of the string is negligible.)
(f) if the radius of the spool is 3cm, what is the magnitude of the torque (around the center of mass) exerted by the tension?