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A stationlay unifrom sting of modlulus Y...

A stationlay unifrom sting of modlulus `Y`, density `rho` and length `'I'` is hanging from a rigid support.
The stress at a distance `x` from the point of tis suspension.

A

`rho x g`

B

`rho(l-x)g`

C

`rho lg`

D

`(rho x^(2) g)/(l)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let us take the point `P` at a distance `x` form the `O` of suspendsion of the stirng
Let us tension in the string at `P` be `T`. We can see that the shaded portion of the string is in equilibrium under the action of `m" g darr` and `T uarr`, where `m" = "mass"` of the shaded portion fo the string. Then applying Newton's secondlaw,
`F = ma`, wherea `= 0` and `F = T - m" g`,
we have `T = m"g,` substituing
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Knowledge Check

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