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Q4. A solid steel shaft of 80 mm diameter is connected to a hollow steel shaft by a shear pin of 10 mm diameter fitted diametrically through the solid and hollow shafts. The inside diameter of the hollow shaft is 80 mm. The shear stress in the pin must not exceed 60 MN/m². Calculate EACH of the following:

(a) The maximum power that can be transmitted at a speed of 300 rev/min;

(b) The minimum outside diameter of the hollow shaft so that its angle of twist does not exceed 0.10 per meter length when transmitting the maximum power.

Note: Modulus of Rigidity for shaft material = 80 GN/m²