Is this OK?
A tricycle is moving along a straight line on a horizontal floor.
All three wheels are parallel. Then the front wheel is turned
by 10 or 20 degrees and the path becomes circular. The wheels
roll without sliding or skidding. What is the radius of the path?
My guess is that R does not depend on the speed. To estimate
the radius I would replace (on my drawing only) the back
wheels by a single wheel in the middle. Then I would say
that the plane of the back wheel is tangent to the circle and
the plane of the front wheel is tangent to the circle. Knowing
the distance between the centers of two wheels I can trace
the circle and determine R (or derive the formula for R).
Would this produce a good prediction? Probably not. Why not?
I think that a tricycle would be easier to analyze than a bicycle
because the is no tilting.
Ludwik Kowalski