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A disc rotating about its axis with angu...

A disc rotating about its axis with angular speed `omega_(0)` is placed lightly (without any translational pull) on a perfectly frictionless table. The radius of the disc is `R`. What are the linear velocities of the points `A, B and C` on the disc shown in Fig. Will the disc roll in the direction indicated ?

A

`v_A gt v_B gt v_C`

B

`v_A lt v_B lt v_C`

C

`v_A = v_B lt v_C`

D

`v_A = v_B gt v_C`

Text Solution

Verified by Experts

The correct Answer is:
d
Velocity at point on the disc, v =`romega` where r is the distance of point from O.
`therefore v_(A)=Romega_(0)`
`v_(B)=Romega_(0)`
`v_(C)=R/2omega_(0)`
`therefore v_(A)=v_(B) gt v_(C)`
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