Euler-Lagrange Equation
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- Опубликовано: 4 июл 2024
- • Euler-Lagrange Equation
00:00 Why all this?
00:52 Action Functional
01:53 Nature is extemal
02:44 Calculate the action
03:52 Structure of the Euler-Lagrange equation
05:20 Lagrange function
05:54 How to use Euler-Lagrange equation
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this was so good, thanks, can you please do one on generalized coordinates?
Amazing Work! It catches the topics complexity but you explain it very intuitivly. Also the example at the end really helps!
Amazing video, so clear, thank you!
Amazing. Thank you!
Beautiful... You explaned the concept with physical interpretation and real life but simple problem... Fantastic. Looking forward to more such a learning videos. Thank you from heart.❤
Was waiting for this
Woow. Absolutely amazing. This is the most talented video i have ever seen. This is a bit confusing topic but you tell it very well. Thank you so much.
This is great! I was a little confused about the EL Eq, but this cleared it for me, thanks! :)
Danke for Euler-Lagrange equation! Well done!
Thank you for the donation! 💜
Really good, clear and patient explanation of the concepts. Thanks.
Thank you for your feedback! :)
Great video! Thank you!
Thank you for the comment! :)
Thank you.
Very nice!
Nicely explained!
Thank you very much! 🙏😊
I always had trouble with Euler Lagrange equation in engineering class. This was very helpful.
Glad I could help you out!
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Thank you so much
Thank you too, for the comment
Thanks! After a lot of complicated formulas in book, at once I have understand what is all about
Thank you!
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Nature always chooses the least path for an action to be preformed and that was clearly explained...Great !!!
Yes! Thank you very much!
Coincidentally always having suitable Lagrange functions and maths skills to apply them 😬
@@brilanto That what math tells us how nature works😄...!!
In your derivation for the Euler-Lagrange equation q(t_1)=t_2 and q(t_2)=t_1 as boundary values. Nice job 👍🏻
I like your videos. Keep educating me please. Thank you.
Thanks, ok, I will do!
Amazing video awesome❤️😍
Thank you for this amazing video.
Lots of love from nepal❤️❤️
Thank you very much!
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Thanks i don't know but today i understand action, just because you write 👉 action units. I am from India 💝
amazing videos
Thank you very much!
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Great explanation, first because of your rigorous step-by-step process, second because of your use of colors. Both are lacking in other videos trying to explain the equation's use.
Thank you very much!
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Now you gotta make a video on generalized coordinates
we need a hamiltonian mechanics one
Thanks for the suggestion, I'll add this topic to the next poll to choose from!
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@@fufaev-alexander thank you, love this channel, your a good teacher and explain things very well
I ve a question did u put that voilin to such a low volume as compared to ur voice
At 4:56 you say that the term is the derevitive of the Lagranian function, but isnt that the partial dererative of L because otherwise how would you descripe the term: "dp/dt" isnt that also the deravative of p with respect to t? And btw love your video!!!
Thank you for the video :)
Unfortunately, I can't find any video explaining the physical meaning of the lagrangian... This video is no exception, but makes it even more confusing by saying that we should check a lagrangian of our choosing and see if it works??
hello, that is because there is actually no physical meaning in lagrangian. The difference between energies does not tell us anything, BUT Hamiltonian (big H) actually has meaning because it tells us about total energy of the system (potentian + kinetic). Just the substitute of - to + and it makes a lot of difference :)
“Fur Elise” playing in the background is pleasantly distracting
Yep, you're right. I will not play background music in upcoming videos.
i couldn't even hear it
@@averagecornenjoyer6348neither can I even when I’m trying to
Can someone please explain why the partial derivative of the Lagrangian with respect to the derivative of velocity @7:05 is mass x the velocity and not just velocity?
because mass is constant, just like the 1/2
0:51
why is the green path going back in time?
cus he invented time machine lol
I laughed at that point.
He's illustrating Feynman's (lesser known) "Sum over future histories".
Fur elise in the background
🙃👍
I am not german, but danke !!
bitteschön 🙏😊
Dear Saschul, here is a couple of suggestions. 1) Instead of using "h" for both "h=number" and "h=h(t) a function" different letters should be used for them; 2) since this video provides only a demonstration how to use E-L Equation for finding the Motion Equation, there is no need for complication involving the Action Integral.