Maximum velocity on a banked curve with friction

[celticsthree4]

Could anyone explain to me how to go about solving these problems?
Example:
A Car is driven around a circe with a radius of 200m, bank angle 10 degrees. The static frictional coefficient is 0.60. Calculate the maximum velocity the car can travel (Vmax).
Please help!

I did this, but am not sure it is the correct way:(.6 + tan10)/(1-.6tan10) = v^2/rg

v^2 = 1703.36

v = 41/ 27 m/s

Is this correct or am I totally off??

 

[celticsthree4]

Sorry for the impatience, but I have a lot of problems like this, and I don't really understand this type, so could anyone explain it?

Thanks!

 

[Pyrrhus]

Start with the free body diagram and apply Newton's 2nd Law.

 

[lightgrav]

celtics, I can't tell exactly HOW you got what you did,
but generally speaking, the best approach is to
choose components parallel to the acceleration and to the velocity if possible
(here you can, so don't make a component parallel the slope)
Most folks don't do friction on banked curves as their first problem of the night!

 

[kp]

try Vmax on the curve without banking and friction first, it's much easier resolve the forces. Then try with the banking...then add friction.

 

[physics247]

I agree with cyclovenom and lightgrav.

See question 23 on

http://www.physics247.com/members/physics40/015.php