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# Dynamics: Find the magnitude of the acceleration of the block after system is released

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A uniform, solid cylinder with mass M and radius 2R rests on a horizontal tabletop. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can rotate about the axle. The string runs over a disk shaped pulley with mass M and radis R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string. The string doesnt slip over the pulley surface, and the cylinder rolls without slipping on the table top. Find the magnitude of the acceleration of the block after the system is released from rest.

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The magnitude of the acceleration of the block after system is released.

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