Question

Calculate the elongation of the steel and brass wire in the adjacent figure. Unloaded length of steel wire is 1.5 m and of brass wire is 1m, diameter of each wire = 0.25 cm. Young's modulus of steel is 2 x 10¹¹ Pa and that of brass is 0.91 x 10¹¹ Pa.

Answer 1

For steel wire: Total force = F₁ = 4 + 6 = 10 kgf = 10 x 9.8 N

l₁ = 1.5 m,r₁ = 0.25/2 cm = 0.125 x 10^-2m^; y₁ = 2 x 10¹¹ Pa^, ∆l₁ = ?

For brass wire, F₂ = 6 kg f = 6 × 9.8 N, r₂ = 0.125 x 10^–2 m Y₂ = 0.91 x 10¹¹ Pa, l₂ = 1 m