BerntR,
I do appreciate it that you spent some time looking at my release post. Whereas you base your critique mainly on what you feel to be right or wrong I did my analysis following a rigorous mathematical procedure. Multi-body dynamics is not readily accessible to intuition, its interactions being complex and highly non-linear. Therefore you might possibly agree with me that it is better to stick to mathematics.
Really???! ;-)
Nice rhethorics, btw. There must be some significant non-linearites in the human efforts in the golf stroke, but I can't see any in your equations. I can't see the imaginary aspects of the said complex situation that you refer to in your paper either. I think you will find alot of non.linearities and a little of complex forces when the kinesiology enters the framework. But what I see in your paper is a 3D problem projected into 2D, where any non-linearities and any complex issues are ignored. The whole release is discussed as a highly linear, lossless and 100% real process. I am fine with that, but why pretend that this is so bloody complicated? You aren't flashing high tech terminology just to impress your audience, are you?
Of course.Working forces are the ones doing work and producing net kinetic energy into the system. Non-working forces don't. However when considering one single body, in a multi body system, one can still think of non-working forces doing work locally but there will be no net work done and no 'fresh' kinetic energy created in the system. Only a redistribution of existing kinetic energy – the very basic action in a kinetic chain action.
Fire at will.I am fully aware of the particular way centrifugal force has been and still is considered by many. Not all of it has to do with logic but such is human nature. I started by countering each of your arguments since I don't agree with them, but quickly I lost interest, the rebuttal getting way too big. Perhaps it is better to get right away to the essential mistake in your reasoning, since showing it to be wrong takes the steam out of all your arguments.
No I don't.Let's use your point of view and show that its implications logically leads to an absurd consequence (reductio ad absurdum).
- You feel that a centrifugal force is exerted on the clubhead.
I feel that a centrifugal force is exerted on the cocked wrist soon to be released. And also on the pulling shoulder.
Let me correct that. I know it. And so do you if you can read your own paper.
Nice try, but no cigar.- We also know that for the clubhead to stay in its path requires a centripetal force.
- Newton's third law indicates that these two forces are equal and opposite.
Let's for safety sake agree that you only need a centripetal force to the extent that the club head has inertia (mass). If it's massless you can do anything you like with it, without applying any force whatsoever. Or perhaps not, because without mass, the acceleration will hit infinity before any force is developed and your equations will suffer from numerical explosion in the first iteration. I guess that's when the non-linearities comes in and save you (lol).
It's a tragic joke that you even consider explaining the release without including the inertia of the moving mass, which is a key enabler of any physics activity in the model.
You should really be more subtle if you want to ascribe me a totally different view than the one I have.- Conclusion the net force on the clubhead is zero.
- Hence clubhead is frozen in space incapable of any curvilinear motion.
- Q.E.D. : Your point of view is hence very basically wrong.
Assume a stationary rotation, a mass rotating around a center, without any nonlinearities and without any complex, out of phase forces that may or may not make their presence later (lol). Jut a pure, friction less rotation. Then you analyze any cross section of the lever between the swing center and the mass center. You will see that the downward axial force on the lower section equals the upwards axial force of the upper section. Yet the object is moving. This is contrary to your cheap rhethorics.
And in case you haven't noticed, the wrist cock is located somewhere in the middle between the club head and the left shoulder.
I further advice you to consider that the "system" during the release is not in a stationary state. It is subject to torque and linear acceleration. Unless you introduce a negative wrist torque you can't have lag without acceleration. But you can shut down the engine and then the lag will be released in no time.
BerntR, Your error is not al that uncommon. Moreover you are in good company. Dr Cochran et al in 'Search for the Perfect Swing' also made the same error. It is one of several misconceptions quite common with regard to centrifugal force.
Mandrin,
Your error isn't uncommen either. You present a problem that you're going to dissect. But you do so without stating clearly what you are going to investigate. Then you present a theoretical discussion that is somewhat related to the problem, but where you fail to put an angle on it that highlights the problem. You're confusing shaft flexing with wrist uncocking. Introduce a highly sophisticated set of equations that is overkill with regards to what you need to draw a conclusion. Then you draw a conclusion that is thematic relevant, but in conflict with your theoretical discusion.
I used to tutor bachelor students when they were writing their thesis. I see the same flaws in your papers as in their first drafts. They have a lot of theoretical knowledge about the subject they are investigating, and they are so eager to put all of their knowledge on display, so they write page after page about everything they know about the subject without even getting close to answering the question at hand. There are no limits as to how complicated this can get. I get the same feeling when I read your papers. Reading a true scientific paper is a breeze by comparison if you are familiar with the subject. These kids don't know how to ask, investigate and answer a question in a scientific manner. And signs are, neither do you.
There are many ways to skin a cat. You don't need all those equations if you want to debunk the centripetal / centrifugal release. It only confuses the message. SteveT, which seems to be a disciple of yours is now attacking me because I say that centripetal force doesn't create swing speed. I guess he didn't notice that you stated the same in your paper.
The only effect your unnecessary complication of the matter has is that most people don't even try to read it. They browse the charts and head straight for the conclusion. The inertial forces from the moving clubhead plays at least as big a part in the release as the centripetal force in your own theoretical discussion. You even have a chart displaying a massive release torque from the inertia forces. Yet you fail to acknowledge that in your conclusion. That's an F in my book.