Nice article and Miura made big an good work to find things oust.
Mandrin, what You think is happening at figs 4a and 4b? I got that Miuras whole research somewhere but haven't red it in few years and can't find it just now, so maybe the explanation is there, but please give Your opinion, because at 4a there is no explanation how the time scale is relative to the impact.
If it goes like fig 4b seems to tell us, the centripetal force is decreasing when coming to impact and that fits totally what I've been saying and how I understand the happenings and forces there. It's not about cp-force itself, it's about what player have to resist.
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TeeAce,
Please don't take the information as treating a real golf swing. Its sole purpose is to give an intuitive knowledge of the underlying physics of parametric acceleration.
I assume that you mean to refer to Figs 3a/3b instead of Figs4a/4b.The radius is shortened in the math model. This requires a positive acceleration towards the center followed by a negative acceleration.
In this math model there is no impact, just a small weight whirling around a center and at some arbitrary times the swing radius is shortened over a short time interval
I have tried to give a more intuitive geometrical explanation why the mass increases its tangential speed when the swing radius shortens.
I think You are quite much on right track with many things, but just doing same mistakes what I did few years ago
I'm going with the scientists, my own research, TrackMan numbers of multiple students, lower scores of many golfers, and my own intuition.
But I will listen to you.
Since you are SO SURE that we are wrong, get right to the point, and I will take it directed to the team for a response.
You do realize that every thing you have brought here is Kinematics?
Brian, I haven't said once You are wrong. That's total misunderstanding.
Yes sorry about figs, I meant 3a and 3b. So the 3b is not telling about how much force there is to that direction where the arrow points? If it tells, it's just what I'm telling.
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TeeAce,
The input information for the differential equation is given by the imposed time history of the radius as shown above. From there displacement, velocity, acceleration and force can be determined.
The information in Fig3b represents indeed the centripetal force exerted on the point mass as a consequence of the angular speed and the chosen displacement input time history for the radius.
But, I like to emphasize, this is not a golfer or a golf swing, but rather a point mass whirling bout a center.
Tee,
Lots of folks taking huge swings at us everyday on this stuff.
So you agree with ALL of it?
Drew,Mandrin,
Thanks for the work on parametric acceleration.
I am having trouble understanding the diagram from the Miura paper that Mike Jacobs posted here. If you have time would you provide a fuller explanation? Specifically, what are hands doing during the periods of tangential and centripetal force shown in the the diagram.
Thanks,
Drew