Algodoo

Very interesting scene, but I'm not quite certain if the dynamics are correct because it just doesn't "feel" right for some reason. Maybe it's because it doesn't behave like a real bicycle (when the bike reaches the point where it would crash to the ground, instead, it bounces back upright as if a giant spring were pushing on it!). Also, the scene allows the user to input extremely large and unnatural numbers. Therefore I suggest that you put limits (+ and -) on them.

Until now, I hadn't put much thought into bicycle dynamics, but your scene has got me thinking about it, and it caused me to do some research. I found THIS very interesting paper on bicycle dynamics.

Thanks for sparking my interest in this fascinating subject!


EDIT: I see you've added limits.

Thanks for the link and feedback. This article A bicycle can be self-stable without gyroscopic or caster effects started me thinking about it. I agree, the model is not quite right. Feel free to improve it. The way I approached this scene is, in the top view, the steering angle rotates the bike frame in one direction and the trailing wheel rotates the bike frame in the opposite direction in a curve of pursuit called a tractrix. In the rear view, gravity tries to tip the bike over, while centripetal acceleration acts in a direction to upright the bike if you turn in the direction of tipping.

*This is the reason why i'm very bad at riding bicycles QwQ

Hah, cool. I got to 118 km/hr before I fell down

Cool. I got to 400 km/hr before I got bored