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A solid sphere spinning about a horizont...

A solid sphere spinning about a horizontal axis with an angular velocity `omega` is placed on a horizontal surface. Subsequently it rolls without slipping with an angular velocity of :

A

`(2omega)/(5)`

B

`(7 omega)/(5)`

C

`(2 omega)/(7)`

D

`omega`

Text Solution

Verified by Experts

The correct Answer is:
C
Initial sphere is slipping and finally it starts rolling during its motion `tau` about point of contact is zero. Angular momentum of sphere about point of contact remains conserved

`I omega= (I + MR^(2)) omega.`
`rArr (2)/(5) MR^(2) omega= ((2)/(5) MR^(2) + MR^(2)) omega rArr omega. = (2omega)/(7)`
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