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A disc rotating about its axis with angu...

A disc rotating about its axis with angular speed is placed lightly {without any transnational push) on a perfectly friction-less table. The radius of the disc is R. What are the linear velocities of the point A, B and C on the disc shown in the Fig. B 7:2.60 ? Will the disc roll in the direction indicated ?

Text Solution

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(a) Velocity of `A = omega_(0)R`, which is in the same direction as the arrow.
(b) Velocity of `B=omega_(0)R`, which is in a direction opposite to the arrow
(c ) Velocity of `C = omega_(0)R//2`, which is the direction of the arrow.
(d) The disc will not roll in the direction indicated as the table is perfectly rictionless and without friction a body cannot roll.
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