THE BASEBALL BAT SWEET SPOT


COLLISION

Close to where the point of percussion occurs is the “sweet spot.”  According to a
study done by H. Brody at the Physics Department of the University of
Pennsylvania, “A bat of mass M and with initial velocity zero can be treated
as a free-body that is hit by a ball whose momentum changes due to
the interaction.”  At the time of percussion the bat will oscillate which indicates
a transferal of kinetic energy into vibrational energy and some kinetic energy is lost.
When all this occurs it is an extremely aggressive action. The bat has a
massive force on the ball changing the direction and speed.


Oscillating base ball
www.kettering.edu/~drussel/bats-new/batvibers.html  

The definitions of the “sweet spot”
  •  A position that generates the least amount of vibrational sensation or “sting”
  • A position that generates the maximum ball speed
  • Center of percussion (COP)
  • A position where utmost energy is transferred to the ball
  • A position where coefficient of restitution is utmost
  •  A node of the fundamental vibrational mode
  • A position between nodes of the first two vibrational modes
Introduction
Vibration
Equations
References


baseballs
http://www.decatursports.com/articles/base/physics.htm