Moving bikes stay upright but not for the reasons we thought
arstechnica.com
arstechnica.com
Um, counter-rotating wheels are still gyroscopes. In fact they're extremely stable gyroscopes in that they won't impart rotational velocity on the frame. So by having the wheels on a bike rotate oppositely, you're actually making the gyroscopic effect even stronger.
I think Ars is pulling from this article, which isn't about staying upright but is about the self-correcting steering of a bike wheel (i.e. the fact that you can ride hands-free.) http://www.sciencemag.org/content/332/6027/339.abstract -- in which case the conclusion is correct and likely due to the geometry of the wheel. For example tractors have convex pulley systems that allow leather belts to self-center despite not being perfectly aligned. It's counterintuitive but it works.
Um, no. A system consisting of two identical wheels mounted on the same axle and spinning at the same speed in opposite directions has a total angular momentum of zero. It will behave like a solid object of the same mass.
I submitted this earlier, with the title of the paper, I guess it was too technical to catch people's attention :)
As you tilt a bike, the effect of trailing on steering increases (i.e. rotational force). This effect is cumulative over time (the velocity of the handlebars turning changes their position in each successive instant; plus the force causes acceleration, increasing the velocity). Small effects become big effects: I would expect that any trailing would induce sufficient steering effects, and so even 4mm trailing is not "negligible".
Hmmm.... you could test this with a "skate bike" - no wheels, just blades on ice, but with a curved front-blade, free to steer, to facilitate "trailing".
But this seems obvious, and it looks like they have been very thorough, so I'm probably missing something (I haven't read their full paper).
* Stabilization occurs because when the front wheel steers that way, it guides the whole bike in a curve, which creates force tilting the bike in the other direction - therefore righting it.
Somewhat related, Jef Raskin on how the Bernoulli effect is not really what helps create the lift on a plane's wings (as taught by most physics text-books): http://karmak.org/archive/2003/02/coanda_effect.html
Making sense of bicycle dynamics is particularly bewildering because they are such a natural and direct extension of the rider. Learning to ride a bicycle is a completely subconscious process and what your body is doing runs counter to what your brain thinks is happening. Most people who ride bicycles believe that they steer in the direction of a turn, when in fact the opposite is the case. A child who learns to ride a bicycle with training wheels actually takes longer to learn to ride on two wheels because of this - they have to unlearn steering before they can learn to countersteer.
Bicycles are weird.
And the article even says they don't know whey a bike stays upright:
"What their math can't apparently tell them is why so many different bike designs tend to stay upright."
To me it sounds like their math is the problem. Its like the bad programmer who blames the compiler for the segfault.
The article summarizes a piece of scientific work. The work itself does 3/4th of typical scientific work: 1) analyzes the current state of art (previous publications), 2) provides model and expected values, 3) analyzes observational data & deviations from the model. It falls short of 4) providing answer to the final ``why'' -- as the answer is still unknown to the authors. What it does _not_ lack is scientific honesty and integrity.
> To me it sounds like their math is the problem.
Indeed, that's what the article says. ``What their math can't apparently tell them is why so many different bike designs tend to stay upright.'' -- i.e., they haven't found the proper formula(s) yet. They don't blame a compiler (the math itself), but find the mathematical formulas they selected to be not sufficient for creating a complete model.
And your point was...?
Sorry, pet peeve.
Though not design-from-first-principles, that's still design.
I also recall an old physics video from High School where the man flipped the fork and handlebars around backwards, specifically so the bicycle would stabilize itself.
Being stable only requires the bike to resist some reasonable force that would knock it down. It takes much more force to tip a moving bike than a stationary one.
Oh, and I very regularly ride (or try to ride) without hands. One or two bicycles were fairly stable, but most were highly unstable.