Just came home a little bit ago to find things had traveled far (but along which Arrow seems to be in question). Gee - and I thought I
might get into trouble saying what I said...
Kinda surprised that you didn't jump on my bandwagon here but considering your posted statement that the reference arrows are moving with the skier rather than a snapshot in time maybe I'll have to think about it a bit more...
...OK, all thunk - nope sorry, still doesn't fly.
Thought maybe we could somehow pin down the CM's trajectory along that Green path as the skier moves forward while turning since a line moving with the skier would essentially rotate with the skier... But in the case of a full double-retraction the skier will not be turning any longer! (And besides - if the arrow set is always moving with the skier - how could the skier's path ever
follow any of those lines? Whichever way the skier moves, the lines would keep their relationship to the skier by moving with him!)
There's no need to be hostile when you're right! Slamming
only causes us grasshoppers to hunker down and defend ourselves at all cost. You came to the same conclusions I did, and probably in the same way. If Ghost has another point of view then he likely has a reason for it. If we can figure out where he and others are coming from, we can decide if they're on to
something - or just on
your car example includes a continuation of the Turn. Lift all four tires off the road, then take your finger off the ball bearing. Now which way does the bearing travel?
*ALL* - be sure to look again at the *diagrams colors* before stating your point! Methinks people are posting correct thoughts but mentioning the wrong arrow (possibly) and causing some of the frustration.
Sounds like RicB is on this particular bandwagon also. Anyone else?
The best case statement so far is "Take away the centripetal force (Blue) and you're left with Gravity (Yellow) so the CM moves straight ahead."
I would revise this to say "...so the CM initially moves perpendicular to BOTH the Yellow and (former) Blue arrows, then accelerates downward in the Plane of the Yellow arrow."
The Green arrow is history and no longer relevant the moment our feet leave the snow because our lost foot-contact removes the centripetal force, and thereby the centrifugal force.
Yes - this does
eventually get back to ILE and OLR relevance. But first the idea being debated must be pinned down. Then, we gotta pin down the 'Flexing causes Crossover' idea. Only then can we meaningfully examine some new variations
on ILE and OLR ideas.
I'm beat after going up today. If I'm not lured back up there tomorrow I'll try to put some JPG's together that might provide better insight than words seem to be doing here.