Two identical blocks, each of mass M, are connected by a light string over a frictionless...

 

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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 I (see figure). The string does not slip on the pulley, and it is not known whether or not there s friction between the plane and the sliding block. When the system is released, it is found that the pulley turns through an angle in a time t and the acceleration of the blocks is a constant. All answers below are to be expressed in terms of M, I, R, 0. g. and t. (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? Two identical blocks, each of mass M, are connected by a light string over a frictionless pulley of radius R and rotational inertia I (see figure). The string does not slip on the pulley, and it is not known whether or not there s friction between the plane and the sliding block. When the system is released, it is found that the pulley turns through an angle in a time t and the acceleration of the blocks is a constant. All answers below are to be expressed in terms of M, I, R, 0. g. and t. (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?