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A disc is rolling without slipping with ...

A disc is rolling without slipping with angular velocity `omega`. P and Q are two points equidistant from the centre C. the order of magnitude fo velocity is

A

`V_(0) gt V_(C) gt V_(F)`

B

`V_(F) gt V_(C)V_(Q)`

C

`V_(P)= V_(C), V_(Q) = V_(C)//2`

D

`V_(P) lt V_(C) gt V_(C)`

Text Solution

Verified by Experts

The correct Answer is:
A

The rolling disc can be considered as pure rotation about point of contact O. In this case point O will act as instantaneous centre of rotation of disc.
Hence velocity of point `P,V_(p) = omegar_(1)`

Velocity of point, Q, `v_(Q) = omega r_(2)`
velocity of point C, `v_(C) = omegaR`
`r_(2) gt R gt r_(1) rArr v_(Q) gt v_(C) gt v_(P)` .
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