Explaining the Mechanics of Banking a Curve on an Inclined Path

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    Banked curve Curve
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SUMMARY

The discussion centers on the mechanics of banking a curve on an inclined path, specifically addressing the role of normal force and friction in maintaining a car's turning radius. When banking a curve, the normal force can provide the necessary centripetal force in the horizontal direction, eliminating the need for friction at certain speeds. Unlike weight, which acts vertically and has no horizontal component, the normal force can be resolved into x and y components to facilitate turning. This principle is crucial for understanding vehicle dynamics on banked roads.

PREREQUISITES
  • Understanding of centripetal force in physics
  • Knowledge of normal force and its components
  • Familiarity with the concept of friction in motion
  • Basic principles of inclined planes in mechanics
NEXT STEPS
  • Study the physics of banked curves in detail
  • Learn about the equations governing centripetal force
  • Explore the role of friction in vehicle dynamics
  • Investigate real-world applications of banking in road design
USEFUL FOR

Physics students, automotive engineers, and anyone interested in vehicle dynamics and road design will benefit from this discussion.

ben_d
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can someone please explain why when banking a curve at an angle so that no friction at all is needed to maintain the car's turning radius , we project the normal into an x and y component and we don't project the weight into an x and y component as we do for problems involving motion over an inclined path ? thanks for any help it will be really appreciated .
 
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Weight always acts vertically, so it has no x component.

To make the turn, you need some centripetal force (in the x direction). That could be supplied by the normal force or friction or both. If the road is unbanked, the normal force has no horizontal component, so friction is all you have. But if the road is banked, the normal force can supply the horizontal force; for some speeds, you won't need any friction at all to make the turn.
 

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