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A disk is fixed at its centre O and rota...

A disk is fixed at its centre O and rotating with constant angular velocity `omega`. There is a rod whose one end is connected at A on the disc and the other end is connected with a ring which can freely move along the fixed vertical smooth rod. At an instant when the rod is making an angle `30^(@)` with the vertical the ring is found to have a velocity v in the upward direction. Find `omega` of the disk. Given that the point A is `R//2` distance above point O and length of the rod Ab is `l`

A

`(v sqrt(3))/( 2l)`

B

`(v sqrt(3))/( 2R)`

C

`( 2 sqrt(3) v)/( R )`

D

` ( 2v )/( l sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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