Analytical Mechanics, Lesson 2: D' Alembert's Principal and Lagrange's Equations of Motion
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Uploaded by MichaelKovarik on Aug 27, 2009
EDIT: On the second slide, I made a horrible typo. A constraint force is a force applied by the holonomic constraint to keep the system of particles consistent with the constraint. Also, the expression for Total Kinetic Energy must have a summation sign(over the "i" indicies).
PAUSE THE VIDEO IF YOU NEED MORE TIME TO JOT DOWN NOTES.
This is the second video in my Analytical mechanics series. It starts with the assumption that constraint forces do no virtual work and works itself up to Lagrange's Equations of motion which generalizes Newton's second law. However Newton's law only works when the system is free to move in a global Euclidean space.
Lagrangian mechanics allows us to treat a system in a local Euclidean space(called a "manifold.")
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Damn, these 1-2 minutes videos about analytical mechanics you post have much more information and explain much better than my 1 hour classes and Goldstein's book combined. Very nice :)
TradingTutor 1 week ago in playlist Uploaded videos
@BarriosGroupie its wikapedia actually =)
blackvinnie1 1 month ago
@h0wud0in2 haha! yeah Lagrange was amazing. He created generalized coordinates, lagrange multipliers etc.
BarriosGroupie 10 months ago
@BarriosGroupie no i meant Lagrange
h0wud0in2 10 months ago
@h0wud0in2 he doesn't understand what he's doing. He's just regurgitating it from a book.
BarriosGroupie 10 months ago
And of course, all taken from Goldstein
BarriosGroupie 1 year ago
it is impressive that people actually derived such results. im about to start first year in university know DE lots of calculus (multi, single) series etc etc... and i cannot understand a thing beyond the start. He on the other hand managed to do this so many years ago and he knew he was getting somewhere and not just writting nonsence
h0wud0in2 1 year ago
Slide 1 - worn should be warn
Greenfinch48 1 year ago
this is my great, great, great, great, great grand-father.....
very cool.
dalemberte 2 years ago