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Q2. A 500 kg mass is to be hauled up a 10^o incline by a cable passing over a 200 mm diameter pulley to a second mass that is free to move vertically downwards. The coefficient of friction on the incline is 0.35 and the torque at the pulley bearings is a constant 40 Nm. Starting from rest, the 500 kg mass travels 8.5 m in 35 seconds.

Calculate EACH of the following:

(a) The magnitude of the required second mass; (10)

(b) The kinetic energy of the second mass after 35 seconds; (3)

(c) The rotational speed of the pulley in rpm. (3)