Topspin for a tennis ball to not change velocity while bouncing

In summary, the conversation discusses the concept of top spin and how it affects the motion of a ball. It is determined that in order for there to be no change in the ball's velocity upon contact with the floor, the tangential velocity must be equal to the product of the angular velocity and the radius of the ball. This results in no slipping and therefore no friction.
  • #1
mintsnapple
50
0

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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  • #2
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 .
 

Related to Topspin for a tennis ball to not change velocity while bouncing

What is topspin in tennis?

Topspin is a type of spin that is applied to a tennis ball during a shot. It causes the ball to rotate forward, meaning it spins in the same direction as it is moving. This spin creates an upward force on the ball, causing it to dip down more quickly as it travels through the air.

How does topspin affect a tennis ball's bounce?

When a tennis ball with topspin bounces, the spin causes the ball to grip the ground more, resulting in a higher bounce. This is because the topspin creates a downward force on the ball, which is countered by the upward force from the ground, resulting in a more powerful bounce.

Why would you want to keep the topspin consistent during a bounce?

Consistent topspin during a bounce allows the player to accurately predict the trajectory and speed of the ball. This is important for maintaining control and accuracy in their shots.

What factors can affect the topspin on a tennis ball during a bounce?

The amount of topspin on a tennis ball can be affected by the angle of the racket face at impact, the speed of the racket head, and the contact point on the ball. Surface type and conditions, such as wind and humidity, can also affect topspin.

How can you prevent topspin from changing during a tennis ball's bounce?

To prevent topspin from changing during a tennis ball's bounce, the player must ensure they have a consistent swing and racket face angle at impact. They can also adjust their contact point and use proper grip technique to maintain topspin. Additionally, practicing and developing muscle memory for consistent topspin can help prevent changes in topspin during a bounce.

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