Atwood’s machine with a massive pulley and massless string: two masses are initially at rest at the same height. After the masses are released, the large mass m2, falls through a height h and hits the floor, and the small mass, m1, rises through a vertical height h. Assuming the pulley has mass M and radius R, find the speed of the masses just before m2 lands, giving your answer in terms of m1, m2, g, M, R, and h. (15 pts). Ignore air resistance and solve using energy considerations.
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