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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 mass .m. is suspended from its lower end. If A is the area of corss - section of the wire then find the stress in the wire at height .x. from its lower end `(x lt L)`

Text Solution

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Tension in the string at point .P. is
T = 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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