A disc rotating about its axis with angular speed ωo 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 Figure. Will the disc roll in the direction indicated?
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The respective linear velocities are :
For point A, vA = rωo in the direction of the arrow
For point B, vB = rω0 in the direction opposite to the arrow
For point C, vc = (R/2)ωo in the same direction as that of vA
Firstly there is no tangential push given to the disc in the initial state. Secondly, the force of friction was the only means of tangential force, but that too is absent as the surface is frictionless. Therefore, the disc cannot roll ahead.
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