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For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.

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My question has to do with the justification for the assertion that $\partial x^{i}/\partial\dot{q}^{j}=0$ when working with generalized coordinates. The following is an example of where this appears, …
asked Oct 28 '16 by Steven Thomas Hatton
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0answers
Apparently my question is different from Lagrangian Mechanics - Commutativity Rule $\frac{d}{dt}δq=δ\frac{dq}{dt}$. I hadn't noticed because the answer given in the comments to this question was sati …
asked Sep 17 '18 by Steven Thomas Hatton
2
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This question pertains to problem 3.10 in Lagrangian Dynamics by D.H. Wells (Schaum's Outlines). The mass $m$ [figure omitted] is attracted to a stationary mass $M$ by the gravitational force $F …
asked Aug 25 '17 by Steven Thomas Hatton
2
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2answers
I have come to suspect that the treatment of virtual work in configuration space using Lagrange multipliers given here "Theoretical Physics, by Georg Joos & Ira M. Freeman, pg 114" is not correct. He …
asked May 11 '16 by Steven Thomas Hatton
2
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2answers
In the following $\left\{x\right\}$ means a configuration point in $3N\text{-dimensional}$ configuration space. Each $x_i$ represents one coordinate of one particle of the system of $N$ particles. I …
asked Sep 10 '18 by Steven Thomas Hatton
3
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1answer
My question pertains to a fact used by Richard Feynman in his so-called Lost Lecture. http://books.wwnorton.com/books/Feynmans-Lost-Lecture/. I have only skimmed the book, so I have much more to learn …
asked Apr 11 '18 by Steven Thomas Hatton
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Is there any consensus on what is meant by Lagrange's equations of the first kind? Joos and Freeman define them as follows: Coordinates are given in terms of a rectangular Cartesian coordinate syst …
asked Oct 24 '18 by Steven Thomas Hatton
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My question pertains to Lecture 6: Exercise 4 in The Theoretical Minimum by Leonard Susskind and George Hrabovsky. A suggested solution has been posted here: http://www.madscitech.org/tm/slns/ The pr …
asked Sep 15 '18 by Steven Thomas Hatton
2
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2answers
Reputable authors (e.g., Bergmann, Wells, Susskind) define generalized momentum using the Lagrangian $L$ as $$p_{i}\equiv\frac{\partial L}{\partial\dot{q}^{i}}.\tag{1}$$ Joos and Freeman define gener …
asked Oct 25 '18 by Steven Thomas Hatton