SECUNDUM QUID
JeffMann,
You don’t have any technical specifications and yet decide how the machine operates. Is this to be qualified as wishful thinking rather than objective information?
Pot calls kettle black... Isn't this is exactly what you've done by assuming a math model in any way shape or form resembles the actual pingman machine or further still... golf swing?
Mathematics clearly show that it is really very, very dificult indeed to have two linked segments describe a motion such as a golf swing and not have the inner segments slow down.
Nonsense. The math model shows that torque would need to vary in order to keep the inner segment rotating at constant speed. This is easily achieved using either electric or fluid power drive mechanisms... that is if (constant speed) is indeed is the design goal.
You most likely respect Brian for his knowledge re to matters regarding golf. If he assures you that hands do slow down, are you going to believe him?
This is a fine example of multiple logical fallacies...
ARGUMENTUM AD POPULUM Description: An argument that appeals to the beliefs of the multitude (i.e., the "populace"). Another way of putting it: Speaker deals with passions of audience rather than with salient issues. This fallacy is also known as "Appeal to Tradition" Ad populum arguments often occur in (1) propaganda, (2) demagoguery, and (3) advertising.
SHIFTING THE BURDEN OF PROOF Description: The burden of proof is always on the person making the assertion or proposition. Shifting the burden of proof, a special case of "argumentum ad ignorantium," is a fallacy of putting the burden of proof on the person who denies or questions the assertion being made. The source of the fallacy is the assumption that something is true unless proven otherwise.
Appeal To False Authority: Your logical fallacies aren't logical fallacies at all because Einstein said so.
If you still want to believe that the hands have ideally a constant linear velocity throughout the swing, well that is fine with me. You are definitely free to believe whatever suits you.
Nowhere did I read JeffMann claim that constant velocity is ideal. This is an example of:
STRAW MAN: a fallacy to misrepresent someone else's position for the purposes of more easily attacking it, then to knock down that misrepresented position, and then to conclude that the original position has been demolished. It is a fallacy because it fails to deal with the actual arguments that one has made.
A simple flexible mathematical model is not to exactly duplicate a real golfer neither is a very primitive golf robot. The special interest in a math model is to be able to analyze various trends, such as did.
Exactly... Which is why assuming a golfer's hand slow down (because the central pivot in a simple math model does) is ridiculous.
I have posted about a varity of subjects such as for instance the self regulating effect inherent in a golf swing, so please be a bit careful with presumptuous conclusions supported by anectdotal tidbits.
FALSE ANALOGY Description: An analogy is a partial similarity between the like features of two things or events on which a comparison can be made. A false analogy involves comparing two things that are NOT similar. Note that the two things may be similar in superficial ways, but not with respect to what is being argued.
You've shown a matlab (or other canned math package) double pendulum model that is limited by various assumptions (see club head acceleration thread) any one of which disqualifies it as being representative of a real golf swing.... that's all. Valid conclusions about the golf swing cannot be made from it.
For those who may not know... there are four steps involved when ever a scientific or engineering problem is solved:
1) CLEARLY state the problem, including simplifying assumptions
2) Develop a mathematical statement of the problem in a form that can be solved for a numeric answer.
3) Solve the equations from 2.
4) INTERPRET the numerical results to arrive at conclusion(s). This step required experience and understanding of the situation in which the problem is embedded. INTERPRETATION of results is always the hardest part of solving any problem and interpretation cannot be taught. Interpretation is where most scientists, engineers (and mathematicians) go astray.
Because of difficulties involved in step 4. the target audience must think critically.... they must look for the logical fallacies in the scientist's (engineer or mathematician) argument. Failure to think critically leads one to being duped... sold a bill of goods... misinformed.... made a fool of. Hence the need for peer review and presentation of papers at conferences etc. so-forth.