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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))/(S)`

B

`(W_(1))/(S)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C

Downward force acting at A
= Weight of `(3)/(4)` length of the wire + Weight attached `W_(1)`
`= (3)/(4) W + W_(1)`
`:.` Stress `= (F)/(A) = (W_(1) + (3)/(4)W)/(S)`
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