How Does Newton's Law Apply to a Race Car on a Banked Track?

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SUMMARY

The discussion focuses on applying Newton's laws to analyze the forces acting on an 80 kg driver in a race car traveling at 44 m/s on a banked circular track with a radius of 200 m and a banking angle of 45 degrees. The key equations used include the centripetal force equation Fc = MAc, where Ac is the centripetal acceleration calculated as V²/R. The user struggles with setting up the free body diagram and resolving forces into components, specifically in the x and y directions.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of centripetal force and acceleration
  • Ability to construct and interpret free body diagrams
  • Familiarity with trigonometric functions in physics
NEXT STEPS
  • Study the derivation and application of centripetal acceleration formulas
  • Learn how to effectively draw and analyze free body diagrams
  • Explore the effects of banking angles on circular motion
  • Investigate the role of friction in banked turns
USEFUL FOR

Physics students, automotive engineers, and anyone interested in the dynamics of vehicles on curved paths will benefit from this discussion.

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A race car travels 44m/s around a banked (45degree with the horizontal) circular (radius = 200m) track. What is the magnitude of the resultant force in N on the 80 kg driver of this car.

I've having a hard time setting up the free body diagram.

First I broke into Fx and Fy

Fx:

F - mg*sin(tetha) = 0

Fy:


I know I'm going to have to use the Fc = MAc ; Ac=V^2/R
Fn - mg*cos(tetha) - 0

I seriously don't know where I'm going with these equations...
 
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grr..haha help please
 

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