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Q.

A wire of cross-section A is stretched horizontally between two clamps located 2 l metre apart. A weight W kg is suspended from the mid point of the wire. If the mid point sags vertically through a distance x < l the value of stress is:

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a

WI2xA

b

WI4xA

c

2WIlA

d

4xWlA

answer is .

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Detailed Solution

From the figure it is clear that 2Tcosθ = W⇒  T  = W2 cosθNow cos θ = xl2+x2 = xl [1+x22l2]If x22l2 is neglected being small, then cosθ = x1T = W2xStress = TA = (Wl2x)AWl2xA = Wl2Ax Correct choice is (a).
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