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In Fig., the winding drum of a lift is driven by an electric motor via a gearbox having a reduction ratio of 20:1. The direct inertia on the motor shaft is 0.05 kg m2 and that on the winding shaft is 20 kg m2. The drum, which has a diameter of 600 mm, moves a lift by means of a cable wound around it. If the lift has a mass of 500 kg, find the torque required from the motor to raise the lift with an acceleration of 2 m/s2.

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