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A sphere is rolling without slipping on ...

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then

A

`vecV_(C)=vecV_(A)=2(vecV_(B)-vecV_(C))`

B

`vecV_(C)-vecV_(B)=vecV_(B)-vecV_(A)`

C

`|vecV_(C)-vecV_(A)|=2|vecV_(B)-vecV_(C)|`

D

`|vecV_(C)-vecV_(A)|=4|vecV_(B)|`

Text Solution

Verified by Experts

The correct Answer is:
B, C

`V_(A)=0, V_(B)=omegar, V_(C)=2omegar`
`vecV_(C)-vecV_(A)` is towards the right and `vecV_(B)-vecV_(C)` is towards left.
hence, option a is correct
`vecV_(C)-vecV_(A)=2omegar=2vecV_(B)`
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