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The Ultimate Tyre Problem.


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Ok so I do not think they teach the answer to this in highschool or even college physics. But this is very important to game development, so I am wondering if any physicists out there that can solve this problem. (Please click the image to enlarge.)

 

  post-94105-0-16204500-1492290135_thumb.png

Also, the static friction coefficient of the Tire is set to 1000 (for all intents and purposes, it has a nearly infinite friction coefficient, in order for students to not side-step the issue.)

 

Basically, the idea is, a standalone simulated rubber tire should have a lateral force applied to it in the opposite direction of lateral motion. The amount of lateral force should = tiremass*lateralvelocity.

However, this becomes much more complicated when 4 tires are attached to a body. So I am not sure what the answer to this problem is, but if someone solves this, I will probably be able to judge whether they are right and correct.

Edited by quickquestion
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