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A string is wrapped around a pulley of mass m, radius r and unknown moment of...

A string is wrapped around a pulley of mass m, radius r and unknown moment of interia. The pulley can rotate freely about its axis without friction. The loose end of the string is attached to a block of mass m. If the magnitude of the angular acceleration of the pulley is 7g/12r what is the moment of interia of the pulley?

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