A force P of 70 N is applied by a rider to the front hand brake of a bicycle (P is the resultant of an evenly distributed pressure). As the hand brake pivots at A, a tension T develops in the 460-mm long brake cable (Ae = 1.075 mm2) which elongates by δ = 0.214 mm. Find normal stress σ and strain ε in the brake cable.

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Hand brake pivot A Brake cable, L 460 37.5 mm A P (Resultant of distributed pressure) 50 mm Uniform hand brake pressure 100 mm