Originally Posted by Rick
So here's a little fun quiz to play with.
Hey, stop that. I have work to do oh wait, I don’t.
Before any thoughts on this, I assume you ask these questions in light of a skier who is Turning
rather than going straight? Not much analysis needed otherwise. I also assume no Flags to avoid, meaning no extra body contortions are required to avoid obstacles.
|1) Which skier will be inclinated the most. (angle of inclination being the angle between the vertical rise line from the balance point and the line from the CM to the balance point. Why?
If both were at 90/10 then Both
would exhibit the same inclination of CM from dominate-ski edge rise line - regardless which ski has the 90% pressure. But since you sneaked in that ‘slightly outside ski dominant’ above, we’ll have to go with slightly lesser inclination for the Outside-Ski dominant skier (due to Base-of-Support distribution being shifted slightly back toward that dominant edge by the more equal weighting).
|2) Which will have to move their CM furthest laterally across their feet (or in some manner create lateral separation of feet and CM) from turn to turn? Why?
The Inside-Ski favoring skier has further to move. They’ve got to move from a starting point further inside the old turn to a destination further inside the new turn.
|3) Which skier will have their CM taking the straightest path down the slope? Why?
Assuming they ski in exactly the same tracks, the Inside-Ski favoring skier. Same reasoning as #2 above. The Inside-Ski skier must keep the CM more to the inside of every turn, thus a lesser deviation.
|4) Which skier will be taxed the most to resist the turning forces? Why?
Both skiers should be Taxed at the same rate. While I wasn’t aware recreational skiers were now being taxed on a per-turn basis, I figure we have to pay for all those vacations for George W somehow...
|5) Will the turn forces be the same for each skier?
Yep. If you mean in overall magnitude
. Because you specified ‘the same path’ and ‘the same speed’ down the same slope.
More minute measurements within the skier’s internal domain would likely show forces distributed differently for each skier (leg to leg, muscle to muscle, et al).
While most forces experienced by either skier might be intuitively predictable, one less-obvious change stands out. The skier on the Inside-Ski turns will likely experience less manageable stability side to side.
a. There is little counterweight available on the Outside Leg for rebalancing a fall to the inside and they’d have to lift it off the snow for a big recovery.
b. There is no convenient support mechanism remaining further inside of the Inside-Ski Edge should they fall to the inside of a turn.
|6) Which skier will be riding the bigger edge angle and sharper turn radius on their pressure dominant ski?
The Inside-Ski skier - assuming a generic carving intent using both skis properly. The Inside-ski must always
travel a smaller radius circle than the Outside-Ski (regardless how it is accomplished). As to a definitive edge angle, remember that we can produce a given turn radius (even carved) with a variety of edge angles.
a. I can pressure the front of the ski more (leverage) thereby putting more weight on the front and bending it more than normal.
b. I can pressure the back of the ski more (beginner’s leverage) thereby put more weight on the tail of the ski, bending it more than normal. (OK, really Bozo - but still doable and shows up unexpectedly even in good skiers)
c. I can twist & skid or scarve the ski around the turn.
Did some exploration on Inside-Ski vs Outside Ski bending a while back in a thread found here: http://forums.epicski.com/showthread.php?t=24613
Took a few shots across the bow for my observations on it but nothing too serious.