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-- pure sliding, like eels on teflon, with no traction?Certainly, there is no rolling
-- ideal rolling, like an ideal cog-wheel, with 100% traction?Certainly, there is no dissipation at the contact points
If static friction means what I think it means,
it can't contribute to the dissipation.
And it's a little obscure to talk about a variable
normal force. I assume that means it's variable
in the frame comoving with a particular patch of
rubber? It's not variable in the frame comoving
with the car chassis.
**Does the back/forwards automatically imply friction?
Consider a very wide tire, so that the effect
of the sidewall is relatively insignificant.
Then it's not even true that there's any forward
and back motion. You can flatten a cylinder
without stretching it. Also imagine a caterpillar
tractor tread -- it flexes without stretching.
Can a rolling tire flex on a frictionless surface?
Huh? If you smash a tire against a surface,
it will deform, whether or not it's rolling,
whether or not the surface is slippery.
Is the plane of contact (at the front and
rear contact points) parallel to the road surface?
If the road is planar and the tire is in
contact with it, surely the area of contact
must be planar.