physics atwood machine and rotational motion

An Atwood’s machine consists of blocks of masses m1 = 13.0 kg and m2 = 21.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 7.90 kg and radius r = 0.200 m.

 The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping.(a) Why must the tension T2 be greater than the tension T1? (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) (c) Find the tensions T1 and T2. image.jpg

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