What forces are involved when hitting the sweet spot of a baseball bat?
If the ball bounces from the sweet spot, the two push on one another hard. The ball slows to a stop and then reverses its direction, rebounding from the bat at high speed. The bat accelerates in the opposite direction, and begins to rotate slightly about its center of mass. This rotation is just right to keep the bat’s handle from accelerating either toward or away from the ball. That’s why the hit feels so clean and neat. The handle doesn’t accelerate. The force from the ball on the bat also doesn’t cause the bat to vibrate, because the sweet spot is a vibrational node.