Two rocks, with masses m1 and m2, are attached to the opposite ends of a rope that runs around the inner radius r of a pulley with moment of inertia I.
(a) What is the tension in the rope on both sides, T1 and T2? (Note that for a massive pulley, they do not need to be equal!)
(b) What is the angular acceleration α of the pulley?
(c) Compute T1, T2, and α from parts (a) and (b) if m1 = 10 kg, m2= 50 kg, I = 60 kg·m2 , and r = 1m.