Minimum speed at the circular track

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Homework Help Overview

The discussion centers around determining the minimum speed a car must maintain at the top of a circular loop, with references to three different methods of calculation. Participants are examining the conditions under which these methods apply, particularly in relation to the height of the loop.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are evaluating different methods for calculating minimum speed, with some favoring a specific method based on the condition that the height must exceed twice the radius of the loop. Questions arise regarding the consideration of forces acting on the car at the top of the loop.

Discussion Status

There is an ongoing exploration of the methods, with some participants expressing preferences for certain approaches. The discussion includes questioning the assumptions related to forces at the top of the loop, indicating a productive examination of the problem.

Contextual Notes

Participants reference specific conditions, such as the height being greater than twice the radius, which may influence the applicability of the methods discussed. There are also mentions of attached files that presumably contain additional information relevant to the problem.

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Homework Statement



What is the minimum speed of the car must have at the top of the loop? There are three methods. I would like to know which method or answer is correct.

Please see attached file.

Homework Equations



Please see attached file.


The Attempt at a Solution



Please see attached file.
 

Attachments

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I would choose the third one,provided that H> 2r.
 
rock.freak667 said:
I would choose the third one,provided that H> 2r.

Thanks a lot. Why didn't consider the force at the top?
 
I think if H> 2r, then the speed will be enough to provide the centripetal force.
 

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