Quote:
Originally Posted by Ether
However, these 2 assumptions:
1: linear change in mu for angles between 0 and pi/2, and
2: mu is not increased by force components not in direction being considered are I think open questions.
... I have looked but never seen any test data to show what happens when force is applied at a variety of angles between 0 and pi/2.
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See attachments.
Plotting the "linear" model of
μ vs
θ in polar coordinates suggests it may not be a good model.
Perhaps an
elliptical interpolation between
μx and
μy would be a better model. See attachments.
I haven't done the math yet, but I think the elliptical model will solve the "2 Newton paradox" discussed earlier in this thread.