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A disc roating about its axis with angul...

A disc roating 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 ?

Text Solution

Verified by Experts

Using the relation `v = r omega`, we get
For point `A, v_(A) = R omega_(0)`, along `AX`
For point `B, v_(B) = R omega_(0)`, along `bX'`
For point `C, v_(c ) = ((R )/(2)) omega_(0)` parallel to `AX`,
The disc will not rotate, because it is placed on a perfectly frictionless table. without friction, rolling is not possible.
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