How to Perform Classical Mechanic Transformations?

Click For Summary

Homework Help Overview

The discussion revolves around classical mechanics transformations, specifically how to derive results related to transformations in the context of Lagrangian mechanics.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants suggest starting with simple cases of transformations to build understanding. Questions about the step-by-step process of achieving the desired result are raised, along with the need for clarity on the general formula.

Discussion Status

Some participants have provided guidance on beginning with simple examples to facilitate understanding. There is an ongoing exploration of patterns and generalizations, but no consensus has been reached on a specific method or solution.

Contextual Notes

The original poster expresses a desire for a detailed explanation, indicating a need for clarity in the transformation process. There may be assumptions about prior knowledge of Lagrangian mechanics that are not explicitly stated.

Mateusz
Messages
4
Reaction score
0
Hello everyone, I have a little problem with some transformation.
I wonder how i can get that result. Can somebody explain it step by step?
The " ' " means derivative. Thank you for your time ;)
Langrange.jpg
 
Physics news on Phys.org
Try starting with a really simple case, like if you have just ## x_1 = f_1(q_1,q_2)## and ## x_2 =f_2(q_1,q_2)##. You can work out each term in the resulting Lagrangian in this case and that may help you see how it works in general.
 
As Geofleur said start with the simplest but non trivial case, then step it up a little bit, you'll see the pattern right away and convince yourself of the general formula.
 
Screen Shot 09-11-15 at 11.13 AM.PNG
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
Replies
9
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
13
Views
2K
Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
5K