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Q.

One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspended from its lower end. If S is the area of cross-section of the wire, the stress in the wire at a height 3L/4 from its lower end is:

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a

W1+(W/4)S

b

W1+(3W/4)S

c

W1+WS

d

W1S

answer is C.

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Detailed Solution

As the wire is uniform so the weight of wire below point P is 3W4.

Question Image

∴ Total force at point P=W1+3W4

and area of cross-section =S

∴ Stress at point P=ForceArea=W1+3W4S

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