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A wheel of bicycle is rolling without sl...

A wheel of bicycle is rolling without slipping on a level road. The velocity of the centre of mass is `v_(CM)`, then true statement is

A

The velocity of point A is `2v_(cm)` and velocity of point B is zero

B

The velocity of point A is zero ánd velocity of point B is `2v_(cm)`

C

The velocity of point A is `2v_(cm)` and velocity of point B is `-v_(cm)`

D

The velocities of both A and B are `v_(cm)`

Text Solution

Verified by Experts

The correct Answer is:
A

Suppose that wheel is moving in the forward direction.
The velocity of `C=v_("cm")`
The velocity of the point A is
`v_(A)=v_("cm")+Romega" But "Romega=v_("cm")`
`=v_("cm")+v_("cm")=2v_("cm")`
and the velocity of the point B, `v_(B)=v_("cm")-v_("cm")=0`
Thus, `v_(A)=2v_("cm") and v_(B)=0`
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