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Tagged with brachistochrone-problem constrained-dynamics
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Is a brachistochrone a straight line in curved space?
Please bear with me, and don't get upset if i have lack in knowledge about spacetime.
Brachistochrone:
Given two points A and B in a vertical plane, what is the curve traced out by a point acted ...
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What is the position as a function of time for a mass falling down a cycloid curve?
In the brachistochrone problem and in the tautochrone problem it is easy to see that a cycloid is the curve that satisfies both problems.
If we consider $x$ the horizontal axis and $y$ the vertical ...