Maximum speed of a car on the bridge

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Homework Help Overview

The problem involves determining the maximum speed of a car traversing the top of a bridge, which has a vertical cross section shaped like a circular arc with a radius of 300 m. The focus is on the conditions under which the car maintains contact with the bridge surface.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the normal force and the weight of the car, as well as the role of centripetal force in maintaining contact with the bridge. Questions about the conditions leading to the car leaving the surface are raised.

Discussion Status

Some participants have provided insights regarding the forces at play, particularly the conditions under which the normal force becomes zero. There is an ongoing exploration of the concepts involved, but no consensus or resolution has been reached.

Contextual Notes

The original poster expresses confusion about how to approach the problem, indicating a need for clarification on the underlying physics principles.

wal33d
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the vertical cross section of a bridge is a circular arc of radius 300 m. what is the maximum speed at which the car will not leave the surface while passing at the top of the bridge?

i just can't seem to understand where to go with this problem
help please!
 
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Hi wal33d, welcome to PF.
When the normal reaction from the ground is greater than the weight of the car, it will leave the ground. In the curved surface, the normal reaction is due to the centripetal force.
 


rl.bhat said:
Hi wal33d, welcome to PF.
When the normal reaction from the ground is greater than the weight of the car, it will leave the ground. In the curved surface, the normal reaction is due to the centripetal force.

When the car leaves the ground, the normal force is 0. The normal force is 0 when the centripetal acceleration of the car is equal to the acceleration of gravity.
 


Yes.
 

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