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A merry-go-round, made of ring-like plat...

A merry-go-round, made of ring-like platform of radius R and mass M is revolving with angular speed `omega`. A person of mass M is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round of afterward is ............

A

`2omega`

B

`omega`

C

`(omega)/(2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
`I_(1)=MR^(2)+MR^(2)=2MR^(2)` (Before)
`omega_(1)=omega`
`I_(2)=MR^(2)+0=MR^(2)` (after)
Now, `I_(1)omega_(1)=I_(2)omega_(2)`
`therefore omega_(2)=(I_(1)omega_(1))/(I_(2))`
`therefore omega_(2)=2omega`
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