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 
and 
on the disc shown in Figure. Will the disc roll in the direction indicated? 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 and on the disc shown in Figure. Will the disc roll in the direction indicated?
Solution:
The respective linear velocities are :
For point 
For point 
both in the direction of arrow
For point 
in the same direction as that of 
To begin with, the disc receives no tangential push in the initial state. Second, the only source of tangential force was friction, but this is no longer the case because the surface is frictionless. As a result, the disc is unable to go forward.