Lagrangian Mechanics I: Introducing the fundamentals

In this video, we discover the classical Lagrangian, the principle of stationary action and the Euler-Lagrange equation. For the best viewing experience, make sure to watch in full-screen and with 4K (2160p) resolution.

#Physics #Lagrangian #Mechanics

[akshaychandandey]

This is the most elegant description of Lagrangian mechanics I have yet seen. Mind blowing stuff.

[BANKO]

This is the ONLY explanation I've seen on YouTube. I dont understand why others, including physics luminaries, just dump the formula on the screen and then explain algebra. This is BRILLIANT!

[worldeator]

FINALLY someone who actually explained where the lagrangian came from!!!! Thank you!!!

[petepeterson]

Never saw such a good explenation of Lagrangian Mechanics. Wish that my professors would have just a tenth of your teaching skills.

[christophealexandre]

I had been waiting for that video for almost 30 years ... First time ever I see an explanation for why the Lagrangian is T-V. Awesome work, thank you! The only obscure part left as far as I am concerned is the one justifying that the time variation of the mean value of L should be 0, and how it relates to determinism ...

[raffev]

This has to be the most precise and clear explanation of Lagrangian Mechanics that I've ever come across. Brilliant.

[stevenlin]

Excellent demonstration of the thought behind how Lagrangian is created. Thanks so much! This is particularly useful for people who wants to pursue a more rigorous mathematical thinking behind Physics.

[edmond]

I watched this 3 times! This is by far the most beautiful and clear graphical illustration of Lagrangian Mechanics fundamentals I have seen! Thank you so much for ur work and really look forward to more videos of urs!

[BENJAMIN]

Best visualization I've seen of the Lagrangian mechanics! thank you

[komahanb]

This is a masterpiece. It would be nice to compare and contrast with Hamiltonian mechanics which uses the sum of kinetic and potential energies.

[RabijitMahanta]

Man you are great .
your intuition is concrete.
Thank you for sharing it

[DirkJMartens]

Agree with others ... the (very intuitive) explanation where L=T-V comes from is reason enough to watch the video and to merit a like and subscribe to make sure I watch future videos ... absolutely brilliant

[asklar]

It never made sense to me why L=T-V until I saw this video! this is the best explanation I've found!

[koenvandamme]

I've been wondering about that minus sign for many years. Thank you very much for this very insightful video.

[drerichu]

Beautiful, beautiful, beautiful! Thank you so much!!!

[johnnelcantor]

i'm really looking forward for the continuation of these videos you are great!

[zornsllama]

Awesome work! Looking forward to part 2

[wulphstein]

I look forward to seeing a mathematical connection between spacetime geometry and the quantum mechanics states for momentum and position. Something that is natural and common sense.

[KevinZomberTV]

I´m stuying Physics and I love this video. I read the Goldstein and is the same facts but this explanation is exponentialy better

[CherryWaves]

Really glad I was recommended this, I'm a novice in physics but your video brought a lot of clarity to something that's mystified me until now. Looking forward to your future works!