Theory about how the bat is accelerated
I think that there are two forces acting on the bat.One is the centripetal force that acts on the bat as a part of the double pendulum as Adair and nyman described And then there are perpendicular forces to the barrel acting on the bat(torque or active turning of the bat)
I read an article on your board(http://www.batspeed.com/messageboard/369961.html) that states that there are strong torquing forces in the beginning that decrease as the swing goes on.
My theory is now:
for the centripetal forces to act you already need a high speed, because if you swing an object on a cord slowly there will be little centripetal force which is correlating in a function to the velocity). that means if you just pull along the axis of the bat with the chp without torque(altough having a very tight chp already has some torque since the circle is directed inward which means you pull in an angle to the bat's length) you waste several frames to accelerate the hands before the pendulum effect is effective-result: whip to late and long swing
On the other hand the torquing overcomes the innertia fast and accelerates the bathead but later when the innertia decreases it's not possible to turn as fast as the centripetal force because the bat is "unweighted". If the speed is already high active turning won't help much
So I think that in the first part of the swing forces perpendicular to the bat dominate. The task is to accelerate the head fast so that the centripetal forces tak over.
Tis phase might last to about lag position or a little longer.
Then the innertia is overcome, the bathead is released ond it whips basically by itself through centripetal force.
I don't think you can accelerate perpendicular to the length of the bat all the time.
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