Minimum speed at the circular track

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The discussion centers on determining the minimum speed a car must have at the top of a circular track loop. Three methods for calculating this speed are presented, with one participant favoring the third method under the condition that the height (H) is greater than twice the radius (2r). There is a query regarding the consideration of forces at the top of the loop, emphasizing the importance of centripetal force in maintaining motion. The conclusion suggests that if the height condition is met, the chosen method will yield sufficient speed for safe navigation of the loop. The focus remains on ensuring that the car maintains the necessary centripetal force at the loop's apex.
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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.

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Homework Equations



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The Attempt at a Solution



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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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