A banked circular highway curve is designed for traffic moving at 60 km/h. The radius of the curve is 202 m. Traffic is moving along the highway at 35 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to negotiate the turn without sliding off the road?
The Attempt at a Solution
I am pretty lost with this one. I have tried playing with variables and I have also tried a couple different free body diagrams but haven't gotten anywhere. My free body diagram represents a car on a banked turn with the force due to gravity straight down the normal force perpendicular to the pavement and friction parallel to the pavement pointing into the turn. Any tip or hint to point me in the right direction would be greatly appreciated.