You are asked to design a curved section of a highway such that,when the road is icy and the coefficient of static friction is0.08, a car at rest will not slide down the curve slope and if thecar is travelling at 60km/h or less it will not slide to theoutside of the curve. What minimum radius of curvature and whatbank angle does the curve need to have?

I think I understand the basic path you need to take to solvethis, but I run into trouble with the fact that the mass is notgiven, and that you need to solve for two variables, not one. I'vebeen trying to break down the problem into two steps, firstdetermining the bank angle using the coefficient of friction, but Ican't seem to do it without knowing the mass.

Thanks in advance for any help, it's greatlyappreciated.

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