Assuming a theoretical wheel like a pizza cutter, with an infinitely small contact patch, just leaning does nothing as an extremely small contact patch cannot impart torque to move your center of mass. Now a bike does have a contact patch with some width, albeit a very squirmy one. I seriously doubt it has the ability to generate enough of a moment to do anything in a timely fashion. However, countersteering will work at any speed, even if extremely small. I would guess that the best you could do steering wise using the "just lean" method would be what you could do riding no hands. And no hands requires a decent amount of upper body movement that few people do during proper riding. Therefore I maintain that quick handling, no matter the speed, requires some level of countersteering.Ok, but in a practical application the amount of counter steering is relatively imperceptible,yes ?
So then wouldn't it make more sense to tell her to lean ? Unless of course you count shifting your hips or dropping a leg as counter steering. To me, counter steering is something that I would pretty much only do on a fast wide dirt road where I would purposely turn the bar in the opposite direction while slightly leaning in the direction of the turn.
I know I countersteer at pretty much any speed. I have thought about it and experimented to the point of being very confident about it.
From a mathematical perspective, speed affects the dynamics of a bike, but it does not cause any fundamental changes in the dynamics. If you need to countersteer at high speeds, you need to countersteer at low speeds.
This explains it better than I can given beer thirty was a while ago.
https://en.wikipedia.org/wiki/Countersteering
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