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Q2. A coal wagon of mass 20 tonne runs down a smooth incline of 4°. As it does so it pulls an empty wagon of mass 3 tonne back up the same incline by means of a wire passed around a pulley of 2.5 m diameter. The pulley has a moment of inertia of 800 kg m². The friction torque in the pulley bearings is constant at 600 Nm.

Calculate EACH of the following:

(a) the acceleration of the wagons. (12)

(b) the tensions in the wire at each wagon. (4)