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

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SUMMARY

The discussion focuses on solving problems related to banked curves with friction, specifically calculating the maximum velocity (Vmax) of a car on a banked curve with a radius of 200m and a bank angle of 10 degrees, given a static frictional coefficient of 0.60. The initial approach using the formula \((0.6 + \tan(10))/(1 - 0.6\tan(10)) = v^2/rg\) yields a calculated velocity of approximately 41/27 m/s. Participants recommend starting with a free body diagram and applying Newton's 2nd Law, suggesting that beginners should first solve for Vmax without considering banking and friction before progressing to more complex scenarios.

PREREQUISITES
  • Understanding of Newton's 2nd Law of Motion
  • Knowledge of free body diagrams
  • Familiarity with banked curve physics
  • Basic trigonometry, specifically tangent functions
NEXT STEPS
  • Study the principles of banked curves in physics
  • Learn how to construct and analyze free body diagrams
  • Practice calculating maximum velocity on banked curves without friction
  • Explore the effects of friction on banked curves in more complex scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the dynamics of vehicles on banked curves.

celticsthree4
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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??
 
Last edited:
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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!
 
Start with the free body diagram and apply Newton's 2nd Law.
 
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:
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.
 
I agree with cyclovenom and lightgrav.

See question 23 on

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