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A disc rotating about its axis with angu...

A disc rotating about its axis with angular speed `omega_(o)` is placed lightly (wighout any translational push ) 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. 7.41 ? Will the disc roll in the direction indicated ?

Text Solution

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Velocity of A = R, which is in the same direction as the arrow.
Velocity of B = `omega`R, which is in a direction opposite to the arrow.
Velocity of C = `omega`R/2, which is the direction of the arrow.
The disc will not roll in the direction indicated as the table is perfectly frictionless and without friction a body cannot roll
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