Lecture - 3 Derivation of the Lagrangian Equation

Lecture Series on Dynamics of Physical System by Prof. Soumitro Banerjee, Department of Electrical Engineering, IIT Kharagpur.For more details on NPTEL visit http://nptel.iitm.ac.in

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Education

Tags:

• Derivation
• of
• the
• Lagrangian
• Equation

[cyn0]

Excellent explanation. It goes so well with the classic by Lanczos.

[rahulyaduka]

awesome

[italouruguayricano]

This music and graphics reminds me TV technology of the seventies

[TheGeocentric]

This is a more rigorous way of deriving the Lagrange's equation of motions but I should say that Prof. Banerjee explained it well. Intuitively, this equation is a condition that needs to be satisfied by all non relativistic bodies for the action integral to be an extremum analogous to the condition in calculus for a function to be an extremum. Nature always prefers to be like this. Thanks Prof.Banerjee for a nice lecture.

[chgenly]

@dcx1287 I also watched Prof Susskind's lecture. I find it less satisfying than Prof Banerjee's. Prof Susskind only uses normal coordinates, although he uses the q notation. And in the end you are left wondering what generalized coordinates and conjugate momentum are. You also are left wondering why it is any better than the straightforward Newton approach. Prof Banerjee motivates the usage of the Lagrangian by showing how it takes advantage of reduced degrees of freedom.

[dcx1287]

there is a much easier and more intuitive way to derive the euler lagrange equation. see leonard susskind's lecture 3 on classical mechanics. i actually recommend watching lectures 1 and 2 to preface lecture 3.

[sumithclt]

Thanks A lot for such marvelous lecture with Visualization 

[DrPMulqueen]

Thank for a very good lecture. the sound is mono and too low.

[genusrightwingus]

Does this equation have exceptions for irregularities(wet/dry) ?