A thin spherical shell (hollow) of mass M = 5 kg and radius …

A thin spherical shell (hollow) of mass M = 5 kg and radius R = 8 cm 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 = 3.0 × 10−3 kg ⋅ m2 and radius r = 5.0 cm, and is attached to a small object of mass m = 0.60 kg. There is no friction on the pulley’s axle and the cord does not slip on the pulley or the sphere. A certain time after being released from rest, the small object has speed of 1.7 m/s. How much distance did it fall in this time? Hint: use energy considerations.