The diagram given below shows a ring rolling purely on a flat surface, what is the ratio of velocity of points A to point B?

Answer & explanation
Correct answer: option 1
The velocity of point A =vo+ Rω = 2Rω , since in pure rolling vo = Rω.
Velocity of point B = √ (v2o + R2ω2)
= √ (2R2ω 2)
=Rω√2.
Thus, ratio of velocities = 2Rω/Rω√2
= √2:1.