Topspin for a tennis ball to not change velocity while bouncing

[mintsnapple]

Homework Statement

Homework Equations

Tangential v = wr

The Attempt at a Solution

I first drew a force diagram for when the ball contacts the floor.

Topspin means the ball is moving tangentially backward.
Therefore, the bottom moves at v - wR. Friction works opposite in the direction of motion, so it will slow it down if v > wR, but it will speed it up if v < wR. Therefore, in order for there to be no change, v = wR, so w = v/R

 

[Tanya Sharma]

You have the right idea .For ω₀ = v₀/R ,the net horizontal velocity of the bottommost point will be zero .On contact with the surface there will be no slipping ,hence no friction .