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A uniform rod is rested on a wall and it...

A uniform rod is rested on a wall and its lower end is tied wall with the help of a horizontal string of negligble mass as shown. Length of rod is `L`and height of the wall is `h`. What will be tension in the string ?

A

`(mg l sin theta)/(2h cos theta)`

B

`(mg l cos^(2)theta)/(2h sin theta)`

C

`(mg l sin theta cos^(2)theta)/(2h)`

D

`(mg l)/(2h sin theta cos^(2)theta)`

Text Solution

Verified by Experts

The correct Answer is:
C
A uniform ………….

Torque about `X` will be zero
`Txxl_(1)="mg"(l)/(2)sin theta`
`Txx(h)/(cos^(2)theta) = "mg"(l)/(2)sin theta`
`T = (mg lsin theta cos^(2)theta)/(2h)`
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