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- Solutions 13

A mass, m_{1} = 680 g hangs from on end of a string that goes over a pulley with a moment of inertia of 0.0125 kg.m^{2} and radius of 15.0 cm. A mass, m _{2} = 355 g hangs from the other end. When the masses are released, the larger mass accelerates downward, the lighter mass accelerates upward, and the pulley turns without the string slipping on the pulley. What is the acceleration of the masses? (Hint: this will require three applications of Newton’s 2^{nd} Law-each mass and the pulley!)