(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A concrete highway curve of radius 80.0 m is banked at a 13.0 degree angle.

What is the maximum speed with which a 1400 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)

2. Relevant equations

[tex] F_r = \frac{mv^2}{r}[/tex]

[tex]F_f = \mu N[/tex]

3. The attempt at a solution

I have a few pieces here, but I'm not completely sure how to put them together.

There's a rotational force pulling towards the center of the circle:

[tex] F_r = \frac{mv^2}{r}[/tex]

Where mass and radius are given.

Also, there is a frictional coefficient:

[tex]F_f = \mu N[/tex]

Where [tex]\mu[/tex] is 1.0 and N is mgcos[tex]\theta[/tex] (at least I believe it is... or is it just mg?) where m, g, [tex]\mu[/tex], and [tex]\theta[/tex] are given.

I had a relatively easy time understanding problems in which there was no friction, but I can't quite figure this out. Anyone have any advice to push me in the right direction? :)

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# Homework Help: Car driving around a banked curve (with friction)

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