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Q8. A close coiled helical spring with mean coil diameter 40 mm is made from 5 mm diameter wire. The stress in the wire must not exceed 250 N/mm² at the maximum spring deflection of 20 mm.

Calculate EACH of the following:

(a) the number of coils in the spring. (8)

(b) the load which causes maximum deflection. (6)

(c) the energy stored within the spring at maximum deflection. (2)

Note: Modulus of Rigidity for wire= 88 kN/mm^2.