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Question

A steel and a brass wire, each of length 50 cm and cross-sectional area 0.005 cm2 hang from a ceiling and are 15 cm apart. Lower ends of the wires are attached to a light horizontal bar. A suitable downward load is applied to the bar so that each of the wires extends in length by 0.1 cm. At what distance from the steel wire the load must be appied?
[Young's modulus of steel is 2×1012 dynes/cm2] and that of brass is 1×1012 dynes/cm2

  1. 7.5 cm
  2. 10 cm
  3. 3 cm
  4. 5 cm


Solution

The correct option is D 5 cm
F=AYeL
As A, Y, e are same for both wires and taking moments about A Fx(x)=Fb(15x)
Ys(x)=Yb(15x) 2x=(15x)x=5 cm

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