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A uniform rod AB of mass m and length 2a...

A uniform rod AB of mass m and length 2a is falling freely without rotation under gravity with AB horizontal. Suddenly the end A is fixed when the speed of the rod is v. The angular speed which the rod begains to rotate is

A

`v/(2a)`

B

`(4v)/(3a)`

C

` v/(3a)`

D

`(3v)/(4a)`

Text Solution

Verified by Experts

The correct Answer is:
D

Angular mometum about `A` will, be conserve i.e.
`L_(i)=L_(f)`
or ` mva=Iomega`
or `mva=(m(2a)^(2))/3 omega:. omega=(3v)/(4a)`
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