The Power of L-Formalism

You can watch the high quality version if you like (click "watch in high quality").

A demonstration of the elegance with which the Lagrange Formalism allows you to derive the differential equations of motion of any mechanical system with a conservative potential.
In the video I derive the differential equation of a point-mass in a y=x^n constraint and a normal gravity potential. Then i show the solutions for n = {2, 6, 50}.

Hope you enjoy(ed) it!

Category:

Education

Tags:

• Physics
• Hamilton
• Formalism
• Principle
• Euler
• Differential
• Equation
• Motion
• Mathematics
• Lagrange
• Science
• Computer

[AllahinakadarAdanali]

I really liked the presentation. Well done.

[DerCrossi]

Thanks! :)

[pikachun00b7]

Wrong derivation of the Euler Lagrange equations. How could insert cartesian coordinates in the Lagrangian, apply Hamilton's principal, and expect to get the EL equations in generalized coordinates?

You don't get EL, you get Newton's second law.

[DerCrossi]

@pikachun00b7:

I guess you misunderstood. This is not supposed to be the derivation of the euler lagrange equation since I obviously just wrote it on the screen in 0:56 with no further explanation. I use the euler lagrange equation in order to get the differential equations of motion of a specific problem (here gravity potential with x^n constraint).

[AnuarPhysics]

Great!



[nahaymath]

How do you create these awesome animations of equations and graphs?

I badly need to figure out how to do that for my videos!

[mailoisback]

What program did you use for this presentation? Very impresive!

[bboydmt]

nice

[LeoSockAccount]

welches programm hastn dafür benutzt?

[josesap]

A Nice presentation.