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A thin uniform rod of mass m and length ...

A thin uniform rod of mass m and length l is hinged at the lower end to a level floor and stands vertically. It is now allowed to fall, then its upper end will strike the floor with a velocity given by

A

`sqrt(2gl)`

B

`sqrt(3gl)`

C

`sqrt(5gl)`

D

`sqrt(mgl)`

Text Solution

Verified by Experts

The correct Answer is:
B
`mg ((l)/(2)) = (1)/(2) I omega^(2)`
`rArr mg = (l)/(2)= (1)/(2) ((ml^(2))/(3)) ((v_(B))/(l))^(2)`
`v_(B)= sqrt(3gl)`
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