Is the Normal Force Component in Superelevated Curves the Centripetal Force?

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SUMMARY

The discussion centers on the relationship between the normal force component and centripetal force in superelevated curves. It is established that the normal force (N) does indeed have a component directed towards the center of the curve, which contributes to the centripetal force required for a car to navigate the curve. This component is responsible for the centripetal acceleration, defined as \( \frac{F_c}{m} \), where \( F_c \) is the centripetal force and \( m \) is the mass of the car. The visual aid provided enhances understanding of the dynamics involved in such scenarios.

PREREQUISITES
  • Understanding of free body diagrams
  • Knowledge of centripetal force and acceleration concepts
  • Familiarity with the physics of motion on curves
  • Basic principles of normal force in physics
NEXT STEPS
  • Study the principles of centripetal acceleration in detail
  • Explore the effects of superelevation on vehicle dynamics
  • Learn about the calculations involved in free body diagrams
  • Investigate the role of friction in navigating curves
USEFUL FOR

This discussion is beneficial for physics students, automotive engineers, and anyone interested in the dynamics of vehicles on curved paths.

fluidistic
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A question about when a car take a superelevated curve. I don't know how to be more precise in English. Take a look at this photo, maybe you'll understand better : http://www.fmciclismo.com/noticias/bmx/imagenes/peralte%20bmx%20copia.jpg
My question is : when you draw the free body diagram, you see that the normal force (N) has a component in direction of the center of the radius of the curve that describe the movement of the car. Does this component is precisely the centripetal force? That would mean that the centripetal acceleration is worth [tex]\frac{F_c}{m}[/tex].
 
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Yes, that component of the normal force creates the centripetal acceleration. Nice picture, by the way.
 
Thanks for your answer. And for the picture, thanks to google :rolleyes:.
 

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