JEE Main · 2006 · 30 Apr 2006 · Offline · Elasticity & SHM

A wire elongates by

ℓ mm

when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm)

(A) $ℓ /2$
(B) $ℓ$ ✓ Correct
(C) $2 ℓ$
(D)zero

Answer: (B)

Solution

The elongation is governed by the tension the wire carries, and a single hanging load

W

stretches it by

ℓ

. When the wire runs over a pulley with a weight

W

at each end, each side is in equilibrium and the tension throughout the wire is again

W

, exactly as before. The stretching force is unchanged, so the elongation stays

ℓ

JEE Main · 2006 · 30 Apr 2006 · Offline · Single correct option

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