Re: "Conservation of angular momentum" and "bat head below knob at contact"
This is a good example showing the equivalency of the effect of BHT and the circle the bat's center of mass (NOT the bat head) is traveling on collapsing to a radius with the center of the circle at contact being a point between the hands.
http://cdn0.sbnation.com/imported_assets/104410/hamiltonhr.gif
You can see the bat head accelerating as the circles get abruptly shorter.
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