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One end of uniform wire of length L and ...

One end of uniform wire of length `L` and of weight `W` is attached rigidly to a point in the roof and a weight `W_(1)` 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

A

`(W_(1)+W//4)/(A)`

B

`(W_(1))/(A)`

C

`(W_(1)+(3W//4))/(A)`

D

`(W_(1)+W)/(A)`

Text Solution

Verified by Experts

The correct Answer is:
C
As the wire is uniform density the weight of wire below point B is `(3W)/(4)`.
Total force exerted at point
P is `(W_(1)+(3W)/(4))`
`:.` Stress at
`B=("Force")/("Area")=(W_(1)+3W//4)/(A)`
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