Euler-Lagrange Equation

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Күн бұрын

• 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
More: en.fufaev.org/euler-lagrange-...
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Пікірлер: 63

@fufaev-alexander 2 жыл бұрын

Support me if you want me to create more analytical mechanics videos: kzfaq.infojoin Do you want to solve every physics problem? Try my eBook! ✅ Contains many useful physics formulas. ✅ Understandable for everyone, because it contains no vectors and integrals. ✅ Formulas are colored and visualized. ✅ Perfect for high school and undergraduate physics students. Click on the following link to get the book: en.universaldenker.org/physics-equations-book

@tridivsharma2342 2 жыл бұрын

this was so good, thanks, can you please do one on generalized coordinates?

@salalamuel4859 6 ай бұрын

Amazing Work! It catches the topics complexity but you explain it very intuitivly. Also the example at the end really helps!

@ieyazlm9967 7 ай бұрын

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.

@apuji7555 9 ай бұрын

This is great! I was a little confused about the EL Eq, but this cleared it for me, thanks! :)

@dr.ganeshbhokare6547 3 ай бұрын

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.❤

@harinikarthikeyan2319 10 ай бұрын

Amazing video, so clear, thank you!

@jeyaraman8826 2 жыл бұрын

Nature always chooses the least path for an action to be preformed and that was clearly explained...Great !!!

@fufaev-alexander 2 жыл бұрын

Yes! Thank you very much!

@brilanto 6 ай бұрын

Coincidentally always having suitable Lagrange functions and maths skills to apply them 😬

@jeyaraman8826 5 ай бұрын

@@brilanto That what math tells us how nature works😄...!!

@johnspivack6520 10 ай бұрын

Really good, clear and patient explanation of the concepts. Thanks.

@fufaev-alexander 10 ай бұрын

Thank you for your feedback! :)

@Dev-of7io 2 жыл бұрын

Was waiting for this

@markgoretsky766 2 жыл бұрын

Danke for Euler-Lagrange equation! Well done!

@fufaev-alexander 2 жыл бұрын

Thank you for the donation! 💜

@stbny4444 2 жыл бұрын

I always had trouble with Euler Lagrange equation in engineering class. This was very helpful.

@fufaev-alexander 2 жыл бұрын

Glad I could help you out! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin

@basicballing7269 9 ай бұрын

Amazing. Thank you!

@dean532 10 ай бұрын

In your derivation for the Euler-Lagrange equation q(t_1)=t_2 and q(t_2)=t_1 as boundary values. Nice job 👍🏻

@dakkumar 5 ай бұрын

Very nice!

@Nitish-Rathod Жыл бұрын

Thanks i don't know but today i understand action, just because you write 👉 action units. I am from India 💝

@jonesmartins 2 жыл бұрын

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.

@fufaev-alexander 2 жыл бұрын

Thank you very much! #### Become a channel member 🏆 #### As a channel member you have many cool benefits: * Badge next to your name * Unique channel emojis * Your vote counts 10x! * and much more kzfaq.infojoin ############### Of course, I would also appreciate a small donation: tinyurl.com/denker-donate -------- Top supporters appear here: universaldenker.org/hall-of-fame

@alijoueizadeh2896 11 ай бұрын

Thank you.

@madmister 9 ай бұрын

I ve a question did u put that voilin to such a low volume as compared to ur voice

@user-jl3ti3tc2j 2 жыл бұрын

Thanks! After a lot of complicated formulas in book, at once I have understand what is all about

@fufaev-alexander 2 жыл бұрын

Thank you! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin

@AJ-et3vf 2 жыл бұрын

Great video! Thank you!

@fufaev-alexander 2 жыл бұрын

Thank you for the comment! :)

@subashkc7674 2 жыл бұрын

Amazing video awesome❤️😍 Thank you for this amazing video. Lots of love from nepal❤️❤️

@fufaev-alexander 2 жыл бұрын

Thank you very much! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin

@kingsleyglenview2396 2 жыл бұрын

I like your videos. Keep educating me please. Thank you.

@fufaev-alexander 2 жыл бұрын

Thanks, ok, I will do!

@makespace8483 2 жыл бұрын

Nicely explained!

@fufaev-alexander 2 жыл бұрын

Thank you very much! 🙏😊

@Dev-of7io 2 жыл бұрын

Now you gotta make a video on generalized coordinates

@boscoruptake4842 2 жыл бұрын

Thank you so much

@fufaev-alexander 2 жыл бұрын

Thank you too, for the comment

@Alinjayy 14 күн бұрын

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!!!

@tridivsharma2342 2 жыл бұрын

we need a hamiltonian mechanics one

@fufaev-alexander 2 жыл бұрын

Thanks for the suggestion, I'll add this topic to the next poll to choose from! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity ---- If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin

@tridivsharma2342 2 жыл бұрын

@@fufaev-alexander thank you, love this channel, your a good teacher and explain things very well

@jack.d7873 2 ай бұрын

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?

@mariansykora5341 2 ай бұрын

because mass is constant, just like the 1/2

@Johan-yy9pk 2 жыл бұрын

amazing videos

@fufaev-alexander 2 жыл бұрын

@Bguha1 Жыл бұрын

“Fur Elise” playing in the background is pleasantly distracting

@fufaev-alexander Жыл бұрын

Yep, you're right. I will not play background music in upcoming videos.

@averagecornenjoyer6348 11 ай бұрын

i couldn't even hear it

@BurgoYT 9 ай бұрын

@@averagecornenjoyer6348neither can I even when I’m trying to

@fawzibriedj4441 4 ай бұрын

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??

@mariansykora5341 2 ай бұрын

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 :)

@agabe_8989 8 ай бұрын

0:51 why is the green path going back in time?

@Quizzazzled-dd4oj 8 ай бұрын

cus he invented time machine lol

@-danR 5 ай бұрын

I laughed at that point. He's illustrating Feynman's (lesser known) "Sum over future histories".

@AbhyudayJackson Жыл бұрын

Fur elise in the background

@fufaev-alexander Жыл бұрын

🙃👍

@Dev-of7io 2 жыл бұрын

I am not german, but danke !!

@fufaev-alexander 2 жыл бұрын

bitteschön 🙏😊

@markgoretsky766 5 ай бұрын

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.