Finding the coefficient of static friction

[dapperjon002]

Homework Statement

If a curve with a radius of 85m is properly banked for a car traveling 65 km/h what must the coefficiant of static friction be for a car not to skid when traveling at 95km/h

Homework Equations

For this question i tried using a few equations such as centripical force, force friction where Ffric = UsFn as well as (mv^2)/R = Ffric i also though the equation Tan(theta)=V^2D/Rg was pertanent.

The Attempt at a Solution

I set up a proportion of mv^2/R = Us(ma) and the masses canceled out so i was left with v^2/ra but i didnt really know where to go from here.

 

[benhou]

Welcome to Physics Forum, although I am quite new too.
The car is moving on a banked curve. Did you take in account the part of the normal force that points towards the centre N_{x}? Also, you should also break the friction force into components f_{x} and f_{y}.

 

[dapperjon002]

Ok i set up my two force components and i have Fycos(theta)=mg and Fxsin(theta)=mv^2/r when dividing both components together you are left with tan(theta)=v^2/rg and when i plug in the numbers given after converting 95 km/h to m/s you get a static friction of .81 am i doing somthing wrong because it doesn't seem right

 

[benhou]

Fycos(theta)=mg and Fxsin(theta)=mv^2/r

What did you mean by F_y and F_x?