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Statement of a problem № 41978

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A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar (Fig. P10.77). Show that (a) The tension in the string is one third of the weight of the disk, (b) The magnitude of the acceleration of the center of mass is 2g/3, and (c) The speed of the center of mass is (4gh/3)1/2 after the disk has descended through distance h. Verify your answer to (c) using the energy approach.




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