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Q5) An 18-tonne truck is pulled up a 1 in 40 incline (sine) by a wire around a winch drum. The effective length of the incline is 420 m and the tractive resistance to motion is a constant 100 N/tonne. The 2 tonne winch drum is 1.8 m in diameter, has an 800 mm radius of gyration and a constant bearing friction of 100 Nm. The tension in the wire must not exceed 12 kN.

Calculate EACH of the following;

(a) The shortest time in which the truck can ascend the incline starting from rest; (6)

(b) The average power of the winch drum during the ascend. (10)