Angular Impulse-Momentum Principle - Conceptual Example 9.7-1

 

Imagine that you are playing a game of tetherball. There are two different tetherball poles available to use. One has a string length of L (case a), the other has a string length of 2L (case b).

 

 

If you hold the ball out to the extent of its string length and hit the ball as hard as you can, which case has the larger resulting velocity and angular velocity?

 

case a
case b