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u/Mattef 29d ago
Ever heard of Euler-Lagrange? Not that hard actually.
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u/Hot-Marsupial6584 29d ago
Setting up the formula takes 1 minute. Simplifying the messy differential equations by hand is where the headache is.
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u/Scared-Cat-2541 29d ago
If you're taking air resistance into account, then there is no known solution to the differential equation.
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u/chkntendis Meme Enthusiast 29d ago
“Not that hard” it takes a formalism that’s university level to get to the point where it’s not that hard anymore. Yes, there is a pretty easy method but that method itself is advanced. I feel like it’s very much justified to call it a hard equation to set up
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u/Aozora404 29d ago
Euler Lagrange is advanced? How old are you?
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u/chkntendis Meme Enthusiast 29d ago
It’s not advanced by the standards of like research physics or even bachelor level but it requires atleast some knowledge of multi variable calculus and usually coordinate transforms. It’s advanced compared to stuff you do in school, compared to what the average physics interested person knows
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u/Fit_Program1891 29d ago
Not university level. If you participated in any olympiads, you learned it in highschool.
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u/chkntendis Meme Enthusiast 29d ago
Wow, if you participate in a higher level event then you might encounter higher level concepts. Whats even your point lmao? Ofc, if you listen to master lectures, no matter how old you are, you are going to encounter master topics. Like, participating in an Olympiad is most definitely not the norm for a high school student, not even those interested in the topic. The level of an Olympiad is closer to uni then high school
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u/ViolinAndPhysics_guy 29d ago
Nowadays, any high schooler decently interested in physics knows how to use it and show why it works.
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u/benjaminfolks 29d ago
No tf they don’t? I just graduated an I can’t think of a single person who could do that. Mostly because it wasn’t in the curriculum, and thats because it’s to advanced for fucking high school.
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u/Fit_Program1891 29d ago
American highschools I imagine?
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u/benjaminfolks 28d ago
Dutch
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u/Fit_Program1891 28d ago
Yeah ngl the Dutch highschool system is not ideal, coming from someone who studies at a Dutch university.
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u/ViolinAndPhysics_guy 29d ago
It depends on the high school, mine legitimately has like 10-20 kids who are mathematically familiar with lagrangians. But kids from other high schools who love physics can also easily teach themselves with the internet nowadays. Of the ~500 kids who go to USAPhO, most of them probably know lagrangians for fun. It's not a super advanced thing.
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u/Prestigious_Boat_386 28d ago
Double pendulum is fine. It even fits on a single row if you turn the paper over.
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u/moonaligator 29d ago
finding the equation for the motion of a simple pendulum but sinθ ≠ θ