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A disc rotating about its axis with angu...

A disc rotating about its axis with angular speed `ω_(o)` is placed lightly (without 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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For `A=VB_(A)= Romega_(0)` in forward direction.
For `B=V_(B)= Romega_(0)` in backward direction.
For `C=V_(C)= (R)/(2)omega_(0)` in forward direction disc will not roll.
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