Explaining the Mechanics of Banking a Curve on an Inclined Path

In summary, when banking a curve at an angle, the normal force can supply the horizontal force needed to make the turn, eliminating the need for friction. This is due to the fact that weight always acts vertically and has no horizontal component. This is different from problems involving motion over an inclined path, where the weight does need to be projected into x and y components.
  • #1
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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  • #2
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.
 
  • #3

Related to Explaining the Mechanics of Banking a Curve on an Inclined Path

What is banking a curve on an inclined path?

Banking a curve on an inclined path is the process of adjusting the angle of a road or track at a curve to allow for safer and more efficient travel for vehicles, such as cars or trains. The road or track is sloped towards the center of the curve, with the outer edge being higher than the inner edge.

Why is banking a curve on an inclined path necessary?

Banking a curve on an inclined path is necessary because it helps vehicles maintain their stability and prevent them from skidding or slipping off the road or track. It also allows vehicles to travel at higher speeds without losing control.

How is the angle of banking determined?

The angle of banking for a curve on an inclined path is determined by a combination of factors, including the speed and weight of the vehicles using the road or track, the radius of the curve, and the coefficient of friction of the road surface. These factors are taken into consideration to determine the optimal angle for safe and efficient travel.

What are the potential risks of not banking a curve on an inclined path?

If a curve on an inclined path is not properly banked, vehicles traveling at high speeds may lose control and potentially crash or roll off the road or track. This can lead to serious injuries or fatalities for the passengers and damage to the vehicles.

Are there different methods for banking a curve on an inclined path?

Yes, there are different methods for banking a curve on an inclined path, depending on the specific needs and conditions of the road or track. Some common methods include superelevation, where the entire road or track is tilted, and cant, where only the outer rail or edge is raised.

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