# Help with Banked Curves w/Friction Can someone show me how?

1. Nov 10, 2005

### 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).

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??

Last edited: Nov 10, 2005
2. Nov 10, 2005

### 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!!

3. Nov 10, 2005

### Pyrrhus

4. Nov 10, 2005

### 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!

Last edited: Nov 10, 2005
5. Nov 10, 2005

### 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.

6. Nov 11, 2005

### physics247

I agree with cyclovenom and lightgrav.

See question 23 on

http://www.physics247.com/members/physics40/015.php [Broken]

Last edited by a moderator: May 2, 2017