One end of a unifrom wire of length L and weigth W is attached rigidly to a point in the roof and a weight `W_(1)` is suspended from its lower end. If

Question

One end of a unifrom wire of length L and weigth W is attached rigidly to a point in the roof and a weight `W_(1)` is suspended from its lower end. If

One end of a unifrom wire of length L and weigth 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 then 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)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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)`

4 views Answered 2023-02-05 15:29