Centripetal Force: Normal Contact Force & Velocity

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Centripetal force can be provided by the normal contact force only when the road is inclined, as a flat road does not allow the normal force to act as centripetal force. If the velocity of the vehicle is less than the required centripetal velocity, it will lose contact with the road when the normal force equals zero. On a flat surface, the vehicle must lift off the road to maintain a curved path, which is not possible without an incline. A free-body diagram for a car on an inclined, curved road would show gravitational, normal, and frictional forces at play. Understanding these forces is crucial for analyzing vehicle dynamics on different road types.
cloveryeah
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if the centripetal force can be only provided by normal contact force.

centripetal velocity is Vs. If V<Vs, then it will lose contact of the road?
Or it will lose contact when n=0? Or when n<0?

THX
 
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What are V and n?
Is this homework?
 
no it is not

v is just the velocity of the object and n is the normal force

i m just confusing on this concept
 
cloveryeah said:
n is the normal force
On a flat road, the normal force cannot act as the centripetal force.
 
i mean at a road that have inclination
 
cloveryeah said:
i mean at a road that have inclination
In order for the normal force to be a centripetal force, the vehicle would need to be moving in a path that curves up away from the surface. If the road is flat, that means that the vehicle would need to lift off the road, even if the road were flat, but inclined.

["Flat" as A.T. intended it means that the road must stay in a single plane. In other words, it cannot curve vertically]
 
cloveryeah said:
i mean at a road that have inclination
Draw yourself a free-body (i.e. force) diagram for a car on an inclined, curved road. If the situation is what I think it is, there should be 3 forces: gravitational, normal force, and frictional force.

Any force that has a component toward or away from the center of the circular path contributes to the centripetal force.
 
cloveryeah said:
i mean at a road that have inclination
By this, do you mean that the road is banked?

Chet
 
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