Answer to Question #227470 in Classical Mechanics for Thabiso Mphago

Question

A winding drum with a mass 400 kg and a 2 m effective diameter raises a cage of mass 800 kg by a light rope. The radius of gyration of the drum is of 1 m. A balance mass of 500 kg is also used as a counterweight. The resistance to the motion of both cage and balance mass is 0.5 N / kg. The drum is driven by an electric motor through a reduction gear system with a ratio of 4:1. If the cage must accelerate upwards at 2 m/s2 , calculate the torque on the motor if the efficiency is 75%. 

Answer 1

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