Cornering while doing a wheelie still requires countersteering (via the rear tire alone), camber thrust and slip angle or relying of momentum built up before the front wheel lifts off the ground. In the case of unicycles, there's no trail effect to induce some "automatic" countersteering in response to weight shifting, a unicycle rider has to consciously countersteer to lean. Advanced riders control countersteering by varying pedal pressure with minimal arm motion, while novices mostly use arm motion or do a series of jerk movements to turn. In the unicycle community, there's no debate about weight shifting versus countersteering, countersteering is recognized as the only way to control lean angle and path in a turn. In this video, the rider is moving his arms and using pedal pressure to lean and countersteer. He may have done that in order to make the countersteering more obvious.Show him a picture of a motorcycle leaned over in a corner with its front wheel off the ground and watch his head explode. Also the gyroscopic force that he dismisses as laughable has more effect on a motorcycle.
https://www.youtube.com/watch?v=55n90QAxRSk
The centripetal force applied from the pavement to the contact patch of a tire still results in deformation, although it would be small in the case of a unicycle.
In the case of camber thrust at the front tire, the torque goes into the handle bars, not the frame, since the front tire can pivot (about its steering axis) but not the frame (since the rear tire would have to slide sideways to allow the frame to pivot). If the camber thrust was significant, the rider would feel the torque related to camber thrust, but other factors have more of an effect on what the rider feels at the handlebars.that author did a good job of showing that 2-wheeled vehicles use steering angle to accomplish some turning. but he didnt show the relative magnitude compared to camber thrust and def didn't show that camber thrust has zero effect. I will say that I did forget about the idea that lean angle increases the effective steering angle.
I think it'd take one more experiment to show that camber thrust has some effect. maybe it'd even reveal some relative magnitudes. compare 2 vehicles w/ the same lean, but with diff camber on the tires. See which vehicle has a tighter turning radius. compare natural steering angle too just in case they are different. and if they are diff, maybe only change the camber of the rear tire.
As posted above, camber thrust at the rear tire would try to turn the frame, but the front tire prevents this (again other than a small amount of tire flex).
Also, since contact patch deformation in a turn means the actual radius is greater than the "steered" (geometrical radius if there was no tire flex), there's always an effective slip angle at the front and rear tires in a turn (both tires are oriented slightly inwards of the curved paths of the contact patches).
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