Max. Speed in Uniform Circular Motion Over Humpback Bridge: 45m Radius

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Homework Help Overview

The discussion revolves around a problem in circular motion, specifically calculating the maximum speed of a car traveling over a humpback bridge with a radius of curvature of 45 meters. The problem involves understanding the forces acting on the car and the conditions for maintaining contact with the bridge.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are exploring the relationship between centripetal acceleration and the forces acting on the car. There are inquiries about the necessity of mass in the calculations and suggestions to draw a free body diagram to visualize the problem.

Discussion Status

The discussion is ongoing, with participants providing hints and guidance without reaching a consensus. Some have suggested using specific formulas and assumptions about the car's speed, while others are questioning the role of mass in the calculations.

Contextual Notes

There is an assumption that the car has reached its maximum speed, and the value of gravitational acceleration is specified as 10 m/s². Participants are also navigating the constraints of the problem, such as the need for a free body diagram.

Neil
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A question on circular motion i wasn't able to figure without knowing the mass of the body. Can anybody post the ans + procedure. Thanx

A car travels over a humpback bridge of radius of curvature 45m. Calculate the max. speed of the car if it's road wheels are to stay in contact with the bridge. Assume g=10ms-2
 
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What is the centripetal acceleration? :-)
 
Welcome Neil !
As you can see :
Neil said:
Can anybody post the ans
No. :mad:

Neil said:
...+ procedure.
It will be possible to provide you hints about that :approve:
 
You must assume that the car reached its maximum speed, therefore this speed being constant. Then use Tide's hint and the value given for g.
 
here is a hint, and its a BIG one, draw a free body diagram, and use this formula [tex]F = \frac{mv^2}{r}[/tex]
 

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