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

Traffic is expected to move around a curve of radius 200m at 90km/h. What should be the value of the banking angle if no dependence is to be placed on friction?

2. Relevant equations

ΣFc = mac

3. The attempt at a solution

For this question what I did first was draw a top view of the situation, then I drew a side view of the same situation but with vectors to show what forces were acting on the car as it was going through the bank (free body diagram). As it turns out (since it says that no dependence is placed on friction) the only forces acting on the car along the bank are the forces Fn and Fg.

My question is when I put it into the centripetal force equation, what force do I incorporate into the equation?

For example is it:

ΣFc = mac

Fnsin(theta) = mac

or is it:

ΣFnsin(theta) + mgsin(theta) = mac

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# Homework Help: Circular motion and gravitation

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