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2 votes
2 answers
273 views

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 ...
OmnipotentEntity's user avatar
5 votes
1 answer
426 views

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 ...
Thomas's user avatar
  • 18.8k
0 votes
1 answer
160 views

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 ...
Massagran's user avatar
  • 185