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A thin uniform rod AB of mass m and leng...

A thin uniform rod AB of mass m and length l is hinged at one end to the level floor and stands vertically. If it s allowed to fall, with what angular velocity will it strike the floor?

A

`sqrt((3g)/(L))`

B

`sqrt(3gL)`

C

`sqrt((L)/(3g))`

D

`sqrt((g)/(3L))`

Text Solution

Verified by Experts

The correct Answer is:
B
`Mg(1)/(2)=(1)/(2) (mL^(2))/(3) omega^(2) rArr omega =sqrt((3g)/(L))`
`V=omega L=sqrt(3gL)`
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