Hey Brian / Mandrin
Brian
As I sit here in sunny Wales, still smarting from Ronan O'Gara's drop-goal in the dying minutes to deny us the triple crown yesterday (Ireland won the Grand Slam - defeating the other 5 nations in the 6-Nations championship) I urge you not to kick Bronco Billy off the forum because you think he and I may be one and the same!! While that would probably be a considerable compliment to me, it is not so - I doubt that Billy would realise that rugby football is the divine game that you lot ruined by putting helmets on the players and using a little pointy ball, etc.. I find that I do like Billy because (a) I had a Bronco Billy outfit when I was little and it brings back lovely memories of playing cowboys and .. erm native americans (b) I think he brings a little colour to the forum (ouch - sorry, Billy) and (c) he's prepared to offer support to transatlantic travellers, albeit at the right price!
I got into this argument for the following reasons:
1. I honestly thought that Mandrin's data had important implications for the golf swing, if the data could be validated.
2. I thought he was perpetuating a misconception - the existence of centrifugal force - I seriously underestimated his intellect, mainly due to his conclusion that golfers muscle the ball because science teachers deny the existence of centrifugal force - it seems to me that everyone realises from their everyday experiences that moving masses can produce effective collisions, especially if the mass is large (big lorry) or the velocity is high (speeding bullet), with no need to add something just before impact.
Mandrin
Thanks for posting an explanation that I could follow!! I though you might start invoking General Relativity or something. I can see you have a much better command of Newtonian mechanics than I. My previous fumblings are my own. When I mentioned the Cambridge Uni guys' support, it was simply for the non-existence of centrifugal force - btw, one had a first in theoretical phys 35 years ago - so he didn't sleep through too many lectures!! My former chemistry students would have a good laugh at my attempts to make sense of phys.. In 32 years of teaching in secondary schools in areas with a high index of social deprivation, the examination results consistently exceeded the predictions based on prior attainment indicators - and we had a good giggle along the way. Above all else, I hope I managed to instill into them the notion that data must be scrutinised before being accepted, no matter the source and that knowing your 2,4-dinitrophenylhydrazine from your napthalen-2-ol is a secondary consideration.
I still wonder why the accepted view in the world of physics, populated as it is by the brightest of minds, is that centrifugal force is a fictitious force. The use of the term does not impute any reality to it. For example, a brilliant teacher once used the term "shake the sugar" in an instructional video - I didn't see any sugar actually being shaken but I got the idea. OK - maybe that analogy is a bit dodgy. Here's one from the world of chem - I loved Linus Pauling's ideas on hybridisation of atomic and molecular orbitals - explained so many things so well. A gentleman who was formerly Reader at Cardiff Uni told me that developments in photo-electron microscopy had thrown doubt onto the validity of those ideas. It's like being told that my much-loved Springer Spaniel puppy is a phantasm! In a sense, all concepts are mental constructs that point to a reality (Zen's finger pointing at the moon, etc.). As you are all too aware, scientists freely use artificial constructs to obtain an end and physicists are particularly clever at that.
I've read through your explanation and have the following thoughts - be gentle with me now - I'm in a fragile state (points difference means we finished 4th in the table!!).
Firstly, we need something to set the gizmo moving. Could be a torque at the hub or an impact on the tube (couldn't help giggling again at the frictionless surface and the frictionless tube - typical physicist - Darling, how much do you love me? 93.64% to four significant figures!). Let's imagine an impact on the stationary tube at right angles to the tube and through the centre of the mass. Due to its inertia, the mass responds to this impact by "trying" to move in the direction of the force on it - this is at a tangent to our circle. As soon as this impulse, Ft, displaces the tube from it's start position, there will be a component resolvable into a direction along the spring. The poor spring, by definition, is extensible and this component is able to overcome the forces of attraction between the positive ions and the surrounding delocalised electrons in the metal. So the spring's extension is due to the effect of this initial impact.
Further, once the mean separation of the positive ions has resulted in the mutual repulsion between the positve ions decreasing below the value of the attraction between them and the delocalised electrons, the spring will shorten a bit until that repulsion becomes greater than the attraction etc, etc. Thus, an oscillating system will result until internal friction dampens it. So for some time this mass isn't going to move in anything like a circle. Why don't we go the whole hog and imagine a frictionless pivot!!!! I think the initial impact causes a continual acceleration so that the spring stretches beyong its elastic limit, snaps and the marble shoots outta that shaft!! Discuss!
Yours RESPECTFULLY,
John