Derivation of Euler-Lagrange Equations | Classical Mechanics

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The Euler-Lagrange equations describe how a physical system will evolve over time if you know about the Lagrange function. We assume that out of all the different paths a particle can take, it will be the one, where small deviations from the path won’t change the action too much. This is usually referred to as: „the action is stationary“.

If you want to read more about the Lagrangian formulation of #ClassicalMechanics, we can recommend the book „Mechanics“ by Landau and Lifshitz:
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Комментарии
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This is one of the most useful video on Youtube.

leonardocerasi
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This was a phenomenal explanation. Way better than my textbook! Thank you so much.

edwardberryman
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By far the best derivation of the E-L equation.

northernskies
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Absolutely incredible, helped me understand how to differentiate functionals

aaronnorman
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woosh! actually i think this was the piece that the text book assumed i already knew when it was talking about this

eldersprig
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Mashallah, that was incredible! Thank you

anarchistalhazen
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Why would you assume that someone who wants to see where the Lagrange equation comes from knows the calculus of variations???

brandonflorida
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What is going on with the continual breaks in audio???
Please can you fix the audio and re-upload this.

AbbeyRoad