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

One end of a uniform wire of length `'L'` and mass `'M'` is attached rigidly to a point in the roof and a load of a mass `'m'` is suspended from its lower end. If `A` is the area of cross-section of the wire then the stress in the wire at height `'x'` from its lower end `(x lt L)` is

A

`(Mg)/(A) + (mxg)/(AL)`

B

`(mg)/(A) - (Mxg)/(AL)`

C

`(mg)/(A) + (Mxg)/(AL)`

D

`(mg)/(AL) + (Mxg)/(A)`

Text Solution

Verified by Experts

The correct Answer is:
C
Tension in the string at point `'P'` is
`TY = wt` of load `+ wt` of wire of length `'x'`
`T = mg + (M)/(L) xg`, Stress at `P = (T)/(A) = (mg)/(A) + (Mxg)/(AL)`
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