First slide

Elastic behaviour of solids

Question

A copper wire of length 3 m and area of cross-section 1 mm², passes through an arrangement of two frictionless pulleys, P₁ and P₂. One end of the wire is rigidly clamped and a mass of 1 kg is hanged from the other end. If the Young's modulus for copper is 10 x 10¹⁰ N/m², then the elongation (in mm) in the wire is________. Take g = 10ms^-2.

Easy

Solution

$Δl = \frac{FL}{AY}$
$Δl = \frac{10 \times 3}{10 \times 10^{10} \times 10^{- 6}} = 3 \times 10^{- 4} = 0.3 mm$

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