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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))/(S)`

B

`((w_(1) + (w)/(4)))/(S)`

C

`((w_(1) + (3w)/(4)))/(S)`

D

`((w_(1) + w))/(S)`

Text Solution

Verified by Experts

The correct Answer is:
C
Force acting at `(3)/(4)` length from bottom
`F = ((3)/(4)W) + W_(1)`
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Knowledge Check

  • 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 W_(1) is suspended from its lower end. If A 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)/(A)`
    B
    `(W_(1)+(W//4))/(A)`
    C
    `(W_(1)+(3W//4))/(A)`
    D
    `(W_(1)+W)/(A)`

  • One end of a uniform wire of length L and 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)/S`
    B
    `([W_(1)+(W//4)])/S`
    C
    `([W_(1)+(3W//4)])/S`
    D
    `(W_(1)+W)/S`

  • 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 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 3 L/4 from its lower end is

    A
    `(W_(1))/(S)`
    B
    `(W_(1)+(W//4))/(S)`
    C
    `(W_(1)+(3W//4))/(S)`
    D
    `(W_(1)+W)/(S)`
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