Physics Quiz 4

[Ether]

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.

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 μ_x and μ_y 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.

[Ether]

Originally Posted by Ether

I haven't done the math yet, but I think the elliptical model will solve the "2 Newton paradox" discussed earlier in this thread.

Solution is 1.3 Newtons using the elliptical interpolation. See attachments.

[IKE]

Very interesting thread. Here is some neat related tire info:
http://www.insideracingtechnology.com/tirebkexerpt2.htm

This would make an excellent science fair project.