Mandrin - I agree with you. Your mathematical model doesn't produce a good club release pattern.
You seemingly believe, with a great deal of certainty, that your mathematical model accurately predicts reality. I, however, disagree - because I think that many PGA tour players (like Tiger Woods) have a downswing arm/hand action that starts with a steady acceleration and then has a constant, or near-constant, velocity through most of the remainder of the swing (even if the hands slows down 0.03 seconds prior to impact). Your model predicts that those PGA tour players should have a club release that is already complete by the 10 o'clock position (arm and clubshaft are in a straight line). Why?
I personally believe that your model's predictive ability regarding the release phenomenon is very poor - with respect to "real" golf swings. Am I right or wrong? Surely, the answer depends on the biomechanical principles underlying your mathematical model's calculations. So, again, I request the following information.
1) There is one independent variable (speed of the central arm) and one dependent variable (speed of the peripheral arm/club). The cause-and-effect relationship between the independent variable and the dependent variable must be defined by a set of mechanical/physical principles. What is the
fundamental principle of the force acting at the peripheral hinge point?
Is that force acting on the grip end of the club as a linear force pulling at a passive free-hinge point? Is your mathematical calculations similar to nmgolfer's
explanation, and if not, why not?
2) Will the predicted release phenomenon be different for the following three scenarios - i) the peripheral lever is made of a homogenous material where the COG of the peripheral arm is at the center of the arm, ii) the peripheral arm is made of a heterogenous material and where the COG is near the far end of the peripheral arm, iii) the peripheral arm is made of heterogenous material and where the COG is near the near end of the peripheral arm?
You state that I am "shuffling my cards" implying that I am not being clearly forthright about my own position. I may certainly be wrong - but I have stated my position as clearly as I can, and I have divulged my thinking/assumptions as clearly/lucidly as I can accomplish that goal. Now it is your turn to divulge all the assumptions/principles underlying your mathematical model, so that forum members can independently judge the likely legitimacy of your mathematical modelling without being predjudiced by my personal opinions.
Jeff.