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One end of a uniform wire of length L an...

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 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)/(4)`

Text Solution

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The correct Answer is:
B
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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

One end of a wire of length L and weight w is attached rigidly to a point in roof and a weight w_(1) is suspended from its lower end. If A 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

Knowledge Check

  • A metal wire of length L_1 and area of cross section A is attached to a rigid support. Another metal wire of length L_2 and of the same cross sectional area is attached to the free end of the first wire. A body of mass M is then suspended from the free end of the second wire, if Y_1 and Y_2 are the Young's moduli of the wires respectively the effective force constant of the system of two wires is

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    `([(Y_(1)Y_(2))A])/([2(Y_(1)L_(2) +Y_(2)L_(1))])`
    B
    `([(Y_(1)Y_(2))A])/((L_(1)L_(2))^(2))`
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    `([(Y_(1) Y_(2))^(1//2)A])/((L_(2)+L_(1))^(1//2))`

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