A disc rotating about its axis with angular speed `omega_(0)` 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. ? Will the disc roll in the direction indicated?

Explanation

Using the reaction `v=r omega`, we get
for point A, `V_(A)=Romega_(0)`, along AX
for point B, `V_(B)=Romega_(0)`, along BX
for point C, `V_(c)=((R)/(2))omega_(0)` parallel to AX,
The disc will not rotate, because it is placed on a perfectly frictionless table, without, rolling is not possible.