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A rod of length 50cm is pivoted at one e...

A rod of length 50cm is pivoted at one end. It is raised such that if makes an angle of `30^(@)` from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in rad`s^(-1)`) will be (`g=10ms^(-2)`)

A

`sqrt(30)`

B

`(sqrt(20))/(3)`

C

`(sqrt(30))/(2)`

D

`sqrt((30)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A

`(1)/(2)I omega^(2)="Mg"(L)/(4)`
implies`(1)/(2)(ML^(2))/(3)omega^(2)="Mg"(L)/(4)`
implies `omega^(2)=(3)/(2)(g)/(L)=(3xx10)/(2xx(1)/(2))=30`
`omega=sqrt(30)` rad / s
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