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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 ?

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Velocity of `A = ω_(o)R` in the same direction as the arrow, velocity of `B = ω_(o)R` in the opposite direction to the arrow, velocity of `C = ω_(o)R//2` in the same direction as the arrow. The disc will not roll on a frictionless plane.
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