I've been having trouble with the following problem:(adsbygoogle = window.adsbygoogle || []).push({});

A curve of radius 60 m is banked for a design speed of 100 km/hr. If the coefficient of static friction is .30, at what range of speeds can a car safely make the curve?

Here's what (I think) I know:

We know that there are two forces that are acting towards the center of the circle. One is friction, equal to mu * normal force. The noraml force is equal to mg, and so friction is equal to mu*mg. The other force acting towards the center of the circle is the centripital force, which is equal to mv^2/r.

So...the maximum speed a car could have without skidding out would be given solving for v in the equation mu*mg=mv^2/r. However, I don't know what to do after this, if this is even right (which it probably isn't). I would appreciate any help with this problem. Thanks.

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# Circular Motion and coefficient of static friction

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