- #1

crudux_cruo

- 23

- 11

The red dot marks the axis of rotation

My intuition says that the farther away from the handle that the bat hits the ball, the more force will be imparted on the ball. I cannot find anything to support this, and when I try the math myself I get very confusing results.

For reference I assume the bat has zero momentum after the collision, and so all momentum is transferred to the ball. If the ball (the yellow circle) is here, it has a given moment of inertia.

However if the ball is closer to the handle, it would have less rotational inertia. This would mean that it would have greater angular velocity. Converting it to linear velocity shows the same trend.

I am almost positive that I am making a fundamental mistake on what I am sure is a painfully simple problem, but I cannot make sense of it. I am alright with challenging my intuition, but I'm not sure if I am going about it the right way.