4 ms·
>arctan(static friction coefficient) >needs this to be as close to the contact patch as possible That's not true, or perhaps you mean something other than how
by geor9e 3y ago
>arctan(static friction coefficient)
>needs this to be as close to the contact patch as possible
That's not true, or perhaps you mean something other than how those words are directly interpreted? Static friction force isn't an arctan, it's just the normal force (which is you+wheel weight) x the friction coefficient. That's the force that's slowing your motion. And being close or far from the contact patch doesn't affect that at all. Elaborate what you're thinking?
- sparky_z 3y agoArctan(friction coefficient) gets you the "friction angle", which is a meaningful angle to know in a lot of physical systems. For example, it tells you how steep of an angled surface your object can rest on before it starts sliding downhill. In this case, it sounds like the friction angle is important because it's the angle at which the reaction force is being applied to the unicycle by the road. (The normal force and friction force components make a right triangle with the resultant force, and their ratio - the friction coefficient - is by definition the tangent of that angle). I know nothing specific about unicycles, but it sounds like they're saying the rider needs to lean back so that the "shaft" between the seat and the axle is oriented along that line of force or else the system will become unstable.