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A wheel of radius R=0.1m is rolling with...

A wheel of radius `R=0.1m` is rolling without slipping on a horizontal surface as shown in the firgure. Centre of the wheel moves with a constant speed `sqrt3m//s`. The speed of the point P with respect to ground is

Text Solution

Verified by Experts

The correct Answer is:
3
`y= 2R cos 30^(@)`
`v_(X) = omega y = 2Romega cos30^(@)`
For pure rolling,
`v_(C ) = sqrt(3) = Romega`
`therefore v_(x) = 2(sqrt(3)) cos30^(@) = 3m//s`
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