A solution to the Brachistochrone problem using only 7 tricks.

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The Brachistochrone problem is to find the path between two points along which a frictionless bead can slide in the LEAST amount of time.

Here is my solution - I hate it because it uses a bunch of tricks.
  1. Dot Physics
  2. physics
  3. physics explained
  4. brachistochrone
  5. classical mechanics
  6. calculus of variations
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Комментарии
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Looking forward for u to get a million subscribers, you're great

jmsolangi
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Don't hate tricks. Call them insights and you won't hate them.

robertl.crawford
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I am loving your videos. I feel like sometimes you are too hasty in explaining several steps. Overall it is great.

sheharyarkhan
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Great video man!! This stuff is so cool!

alpharadisbad
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Just to check, at 7:10 you say there's no x…but there's an x-prime, and isn't the derivative of x-prime wrt x supposed to be x-double-prime? No doubt I'm missing something either very subtle or very obvious…

PhilBoswell
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The only one thing I cannot make out in all these brachistochrone solutions is how the y substitution works...where did that trigonometric expression come from? How do we know that y is equal to that?... Could someone explain it to me?

marcoguedes
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Ok. I’m trying to do this BUT my professor made x the vertical element, so v=(2gx)^1/2…. Making a big mess basically. Trying to do all the partials by hand and simplifying is a headache and I know I solved it the normal way during undergrad (Grad student rn). Really isn’t looking good

xonikkiecal
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at 9:38, why did we make the constant be 2a and how is the constant squared then 1/2a?

yuxuancai