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A motor applies a torque of M = 50 Nm to a pulley in order to...

A motor applies a torque of M = 50 Nm to a pulley in order to raise a 6 kg crate. The pulley has a mass of 20 kg and has a radius of gyration of ko = 0.8 m. The inner radius of the pulley (about which the cord is wrapped) is 0.75 m. How long would it take for the crate to reach a velocity of 5 m/s starting from rest?

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