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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

`vec V_(C) - vec V_(A) = 2(vec V_(B) - vec V_(C))`

B

`vec V_(c) - vec V_(B) = vec V_(B) - vec V_(A)`

C

`|vec V_(C) - vec V_(A_| = 2| vec V_(B) - vec V_(C)|`

D

`|vec V_(C) - vec V_(A)| = 4| vec V_(B)|`

Text Solution

Verified by Experts

The correct Answer is:
B, C
`vec v_(B) - vec v_(A) = vec v_(0) rArr vec v_(C)- vec v_(B) = vec v_(0)`
`|vec v_(C) - vec v_(A)| = 2 vec v_(0) rArr |vec v_(C) - vec v_(B)| = vec v_(0)`
Hence, the correct choices are `(B)` and `( C)`
.
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