Try to keep up
Interesting but I do think they are very relevant.
At the moment there seems to be confusion associated with this idea of there being a very limited steering angle under the foot in a carved turn. Why is that?
Well I think people are still missing a few points.
I'll try to explain with an example:
The steering angle from the ski tip to the foot in a pure carved turn is lets just say 10degrees.
In practice this means that when the ski travels on an arc, as the foot gets to where the tip was, the foot will have turned 10 degrees.
Again for simplicity lets say the tip is 100cm in front of the foot. In practice that means after the foot travels the fist 10cm it turned one dgree...another dgree after the next ten, and so on until it travlled the full 100cm and turned the full 10 degrees. This is what RL means when he referest to multiple steering angles along the skis length. In practice of course it is irrelevant becuase they all add up to the total of the tip to the foot....
The take away from that is the steering angle, is a function of how far you measure it out from the foot...ie at 0.0001cm in front of the foot the steering angle is only 0.00001 degrees...but as the ski travels along its path...all those 0.00001 degrees every 0.0001cm add up fast! They will add up to the total max steering angle from the tip.
Hence the point of my questions is....since the ski turns the skier...the ski only needs to have a 0.0001 steering angle at the foot...relative to the path of the COM
ie the path of the ski under foot only needs to deviate from the path of the COM by a small amount becuase the steering part fo the ski is jsut slightly ahead of the COM.
The point of the questions was to get people to step back for a second, think wholistically again...skis vs. COM, BOS vs COM....then dive back into the detail.