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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 (without any translational push) on a perfectly frictionless table. The radius of the disc is R.
Let `v_A, v_B and v_C` be the magnitudes of linear velocities of the points A, B and C on the disc as shown. Then

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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 frictionless and without friction a body cannot roll.
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