To set up the analysis of the problem draw a schematic of a general rigid body swinging in the plane about a fixed pivot point

Where:

We wish to find the distance

Treat this as a two-dimensional problem (in the

The moment equation for rotation about a fixed point

Where:

The sum of the moments is given by:

The angular acceleration

Where:

From Newton's Second Law, the force equation in the

where

For no reaction force at

We don't need to account for the force equation in the

Solving, we get

This is the general formula for calculating the distance from

This result is interesting. It says that no matter how large the impact force

In baseball, the centre of percussion on a baseball bat is known as the “sweet spot”. This is the location on the bat that is generally regarded as the best spot for hitting the baseball. It minimizes vibration of the bat and results in the maximum energy delivered to the ball, meaning it travels the farthest.

The "sweet spot" is a special point on the bat. When the ball strikes there, the result is minimal stinging of the hands at the grip location on the handle (the pivot). Baseball players claim that hitting the ball in this location "feels" the best, and results in the most solid hit.

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