A uniform spherical shell of mass M = 7.70 kg and radius R = 0.670 m can rotate about a vertical axis on frictionless bearings. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 0.0880 kg·m2 and radius r = 0.0790 m, and is attached to a small object of mass m = 2.00 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen a distance 0.610 m after being released from rest? Use energy considerations.
The Attempt at a Solution
I don't even know where to begin.