Topspin for a tennis ball to not change velocity while bouncing

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SUMMARY

The discussion centers on the physics of topspin in tennis, specifically how to maintain the velocity of a ball upon bouncing. The key equation derived is ω = v/R, where ω represents angular velocity, v is the linear velocity, and R is the radius of the ball. The analysis concludes that for the ball to not change velocity during the bounce, the condition v = wR must be satisfied, resulting in zero net horizontal velocity at the point of contact with the surface, thus eliminating friction.

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Homework Statement


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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
 
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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 .
 

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