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Question

One end of 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 L4 from its lower end is -

A
W1s
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B
[W1+W4]s
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C
[W1+3W4]s
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D
W1+W4
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Solution

The correct option is B [W1+W4]s
Consider the FBD as:
Let x be the weight of wire part of l=l/4
As wire is uniform,
xl4=wl
x=w/4
For equilibrium,
F=w1+x=w1+w/4
So stress at point P=Fs=(w1+w/4)s
option B is correct.

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