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Tagged with brachistochrone-problem optimization
3
questions
2
votes
2
answers
273
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Brachistochrone to a vertical line [closed]
Just for fun, I am working through some problems in Mathematics of Classical and Quantum Physics by Byron and Fuller. Problem 2.13 reads:
Prove that a particle moving under gravity in a plane from a ...
5
votes
1
answer
426
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Could two concatenated cycloids be an optimal solution to the Brachistochrone problem?
The following is a specific instance of the brachistochrone
problem, which I first encountered in grad school, and I
have occasionally used as hw problem in teaching CM.
A particle is started from ...
0
votes
1
answer
160
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Maximising velocity at B when rolling down the curve between A and B
I would like to build a curve between two points A and B. A ball would roll down the curve in a gravitational uniform field (i.e., I'm actually going to build the thing here on Earth).
My question ...