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Two identical blocks, each of mass M, are connected by a light string over a frictionless pulley of radius R and rotational inertia (Fig). The string does not slip on the pulley, and it is not known whether or not there is friction between the plane and the sliding block. When this system is released, it is found that the pulley turns through an angle θ in time t and the acceleration of the blocks is constant. (a) What is the angular acceleration of the pulley? (b) What is the acceleration of the two blocks? (c) What are the tensions in the upper and lower sections of the string? All answers are to be expressed in terms of M,I, R,θ,g, and t.
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