Euler-Lagrange equation explained intuitively - Lagrangian Mechanics

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Title	:	Euler-Lagrange equation explained intuitively - Lagrangian Mechanics
Lasting	:	18.22
Date of publication	:
Views	:	361 rb

Please change or remove the music altogethernot useful nor is the graph useful
Comment from : Marion Deleon

“Let’s consider the slope of a line on this graph”brPlease No Don’tbr“We need to consider the partial derivative”brANYTHING BUT THE CALCULUSbr*starts calculating the derivative of a partial derivative *brNOOOOOOOOOOOOOOOOOO
Comment from : Phrygian Phreak

Hard to focus on this video with a banger like Liszt’s Hungarian Rhapsody no 2 playing in the background
Comment from : Benjamin Graziano

More confused after than before, but I really wanna touch that graph 😂
Comment from : Yung Jwall

Totally love these videos Narrating excellent too brCan see a lot of work has gone into explaining the concept brGreat stuff as usual!
Comment from : Irigima

Eles complicam a equação para não entenderem , é natural que isso seja assim ,
Comment from : Osvaldimar dos Santos

Take physics from YouTube it's very very and a Very Bad, br __go to library and there Whole better Scientist of 1000 years Best of best books, br Best Understanding of MechanicbrErnst Mach: Critique of Mechanic
Comment from : Hannibaal Barça

힘내주세요 포기하지말아요 이 동영상은 아주 멋져요 도와주셔서 고마워요❤
Comment from : 그여름날의추억

nothing understandable in this video demonstration is bad, not intuitive i am sorry u make easy thing difficult
Comment from : Natural Learning insaan

it's just amazing thank you so much
Comment from : Mohamed Mouh

Wow, clear as mud 😆
Comment from : Robert Brandywine

This video is basically "let's do ___" without explaining why
Comment from : Gabe Darrett

So, you are telling change rate is the amount changed? Doesn't make sense?
Comment from : Gytoser

It would be fine if there were Chinese editions
Comment from : li jack

This is a tough one 😂
Comment from : Peeper

I want physical meaning of Euler-Lagrange equation and Lagrangian density can you help me and write me that?
Comment from : M_aa

Thanks for the video Does anyone know what the names of the first songs are?
Comment from : Rebecca Herr

Nl entendí na
Comment from : Rodrigo Cordoba

The beautiful music become a big drag here !
Comment from : Zack 120

music with explanation is very bad and annoying
Comment from : Lonely Shepherd

Great visualisation! Thank you very much Can anyone tell me the name of the background music of this video? I can't remember it and it stuck with me
Comment from : Yorick Zeschke

manyak manyak işler
Comment from : murathan karatmanlı

Really nice video People may need to watch it a few times while making notes, but everything is there
Comment from : W R

From D'Alambert to Hamilton youtube/IKDI5uFKp2Y
Comment from : Stephan Kocher

Brilliant This is worth saving in my playlist
Comment from : Batman Fan

Wow there are a lot of smart people in the world I never know this way to understand Euler Lgrangian equation geometrically
Comment from : HY Prk

I have no idea how many times I've watched this by now, but I love it Thanks
Comment from : Migo Narvo

Absolutely amazing, thank you for such a wonderful animated explanation Will rewatch and make some proper notes, that was excellent :D
Comment from : Malcolm Akner

loved your work as always but i think the we need a bit more intuition, something on lines of why the formulation is this particular one and not others seemingly giving similar results
Comment from : Sujit Sadhnani

Tom and Jerry flashbacks from music
Comment from : R J

Didnt get the math, but enjoyed the Hungarian Rhapsody
Comment from : copernicus633

안녕하세요 에브입니다
Comment from : 훙훙훙

Awesome understanding but just one suggestion Please do not put music Its kind of distracting not able to focus completely on the explanation
Comment from : Karan Tamboli

6:08 I don't get why this is true
Comment from : Rodrigo Appendino

Instant subscribe As someone who is struggling through learning lagrangian mechanics right now, this video was invaluable, especially the explanation of 14:28 of why one must take the derivative with respect to time of the second term
Comment from : Aeden Gasser-Brennan

Subbed :)
Comment from : Rovsau

Nice visual representation of the Lagrangian, which is a very difficult topic!
Comment from : David Terr

Евгений привет еще раз здрасте,brДля визализации Вы пользуетесь Графическим пакетом iClone??
Comment from : Ko Prometheus

Привет,brВы говорили, что Визуализация квантового поля будет в другом видеоbrПодскажите где это видео можно найти??
Comment from : Ko Prometheus

The animations here made me think of gummi worms a lot
Comment from : Jeffris (Suspicious Manifold)

This video sponsored by the World Colonoscopists Association
Comment from : IncompleteTheory

Nice 👍
Comment from : brenda williams

Normally I LOVE these videos, but the plot of the action just looked like intestines …
Comment from : Jack Stewart

From my first years as an undergrad, to me now pursuing my MSc, you have always been there when I needed you the most Thank you Eugene Khutoryansky
Comment from : Arvin T

Eugene , How you make these animation video ? Pls tell me 😊
Comment from : Ankur kumar

Thank you for your amazing teaching video brI'm wondering if there is proof for more independent variables brI've searched on the internet but don't find the full proof Thank you in advance
Comment from : Jimmy

👍🏻
Comment from : Civil Ideas

This is a showoff of animation but not a good explanation of Lagrangian for beginner
Comment from : Guiwen Luo

그래 이게 오일러 라그랑주 방정식의 물리적의미지
Comment from : 林·님太:ᄐᆡᇰ成셔ᇰ

best video
Comment from : Tanvir Farhan

I generally believe that your videos are very informative and easy to understand I can't say this is the case for this video Sorry!!!
Comment from : thanasis constantinou

this is a test 2
Comment from : Ryan Nordquist

thank you so much! thanks to this video, I understood Lagrangian more accurately
Comment from : Ethan

Beautiful videos Just too complex for me to comprehend :D
Comment from : Mairis Bērziņš

He starts saying about 3D path of a particle, and suddenly changes to explain the Lagrangian in 1D space, which the path is just a straight line Even though the Lagrangian changes in 1D path After all, he changes again to the time domain to explain the concept of action (which is the integral of the Lagrangian) Very confusing and misleading
Comment from : Leonardo Santos

Can you please explain why the slope of the action/change in path graph has to be 0 for the actual path if the work done depends only on the initial and final state (6:11)?
Comment from : Wilf Ashworth

Да сфигали? С какой стати 20 мин? Люди минимум семестр на это тратят А то и два! Спасибо
Comment from : Николай Николаев-Потапов

Khutoryansky teaching philosophy: You never really learn something until you make a full-color computer graphics animation of it set to classical music
Comment from : The Ultimate Reductionist

The video is for chess players to understand its quantum system
Comment from : Mr Goldie

6:01 - Maybe this state could be elaborated a bit further Why conservative forces implies stationary action? Not obvious to me
Comment from : Giuseppe Papari

wow this is heavy! it's hard to digest
Comment from : incognegro mode

I don't know who chose the music for this video, but it makes my anxiety SKYROCKET
Comment from : SuperKimxD

I'm just picturing a cat & a mouse beating the crap out of each other at a piano
Comment from : Massimo OKissed

What the hell Why is this video SO good Goddamn Came to the comments section to literally complain about what incredible quality this video is when surprise comment by Michael Stevens! Always a pleasure to see that
Comment from : Kaiden Schmidt

At 2:45, the Lagrangian looks like a pair of boobs
Comment from : somuboy

Bro I just started learning Lagrangian Mechanics and this video blows my mind, greetings from Berlin!!
Comment from : Leon_Noel

Can someone explain the assertion made at 5:56 where the true path of the system must be when the action of the system is zero? I get that work is a state function, but how does that relate to the action and it being related to the derivative being zero?
Comment from : Mickel Ross

Dear madam, br[1] could you please describe why Lagrangian is described as (KE - PE) ?br[2] While taking derivative in animated plot, why you change colored balls position according to its color?brTIA
Comment from : Sayanjit Banerjee

Why does the video choose to show the change in x(t) as increasing the action, while the corresponding changes in x'(t) decrease the action? It seems equally possible to me that both changes can cause an increase in the action For example, what's stopping the Lagrangian from having the opposite of the slopes you showed at 14:50? In that case, the action would increase overall from the small change in the path
Comment from : Alexander Pleava

I don't get where that d/dt came from in Euler-Lagrange equation? Also why is change in action equal to change in Lagrangian? And why is there a minus sign in E-L? As far as I get part with partial derivative with respect to path should be equal to time derivative of partial derivative with respect to velocity but is seems like it's just tautology, how can we get anything meaningful out of that?
Comment from : Matej Pavlović

Нихуя не не понял, но очень интересно (с)
Comment from : Adrenalin

I would need more on the calculus of variations, Euler lagrange solutions and the application to complex problems in computational geotechnics For example, the gain in compressive strength of compacted treated/modified/cemented soil against time of curing in days This system is constrained for a start, between 7 and 28 days when cemented components are expected to gain initial strength and around 70-80 of total strength respectively Experimental experience has shown that the typical behavior of the graph is semi-parabolic and in some cases parabolic Any insights can help I am assiduously working on this If you dont mind, you can send any insights you have to konyelowe@gmailcom Much appreciated
Comment from : Kennedy Onyelowe

I sincerely wish to thank you Eugene for this thoughtful and inspiring video visualization lecture It is right on time
Comment from : Kennedy Onyelowe

I have master in physics but still do not understand why the statement at 06:03 is true
Comment from : MH Yip

Can you do a video on the Hamiltonian
Comment from : Cameron Spalding

This video is very interesting but some steps, not formally proved, remain unclear for me In particular at time 11min24s of this video this (very important) assertion is given: for the slope of the blue line to be zero (slope of a map whose domain is the set of all possibles pathes and whose codomains is the set R of the action values) this expression (namely: dL/dx - d/dt (dL/ dx') must also be zero As one function is defined over pathes and the other over the time, their relation (or their dependancy) is really not clear for mebrIt is also not clear if one should consider that two pathes of the set of all pathes are supposed to have the same time domain or not brfor short: it would be nice if you could provide a formal proof of the assertion given at time 11min24s
Comment from : N R