Question

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. What are the linear velocities of the points A, B and C on the disc shown in Fig.?

Answer 1

Velocity of point A=$v_A=R{\omega }_0$ towards right

Velocity of point B=$v_B=R{\omega }_0$ towards left

Velocity of point C=$v_C=\frac{R}{2}{\omega }_0$ towards right

Since the disc is placed on a frictionless table, it will not roll. This is because the presence of friction is essential for the rolling of a body.