Skip to main content

All Questions

6 questions with no upvoted or accepted answers
2 votes
1 answer
675 views

Possible error in Marion and Thornton's Classical Dynamics of Particles and Systems

I was going over my notes on classical mechanics and just started to review rotation matrices which is the first topic the book starts with. On page 3 The rotation matrix associated with 1.2a and 1....
Elvis's user avatar
  • 43
1 vote
0 answers
36 views

How do 4-vectors change under an "accelerated" Lorentz transformation?

I assume that an observer moving with velocity $\mathbf{v} = v\mathbf{n} = \mathbf{v}(t)$ (with respect to another observer) has coordinates where $x^{\mu}$ are the coordinates for the observer who ...
K. Pull's user avatar
  • 391
1 vote
1 answer
83 views

Doubt on the difference between a rotational coordinate system and spherical coordinate system and the calculation of the Christoffel sysmbols

I know basic differential geometry for general Relativity and classical mechanics. But an interesting fact was revealed in my calculations, namely, that I discovered that I didn't realize the ...
M.N.Raia's user avatar
  • 3,085
0 votes
1 answer
44 views

In terms of which zero should i calculate the potential energy in the Lagrangian formalism?

What I understand is that we have two kinds of coordinates when working with the Lagrangian formalism with different zeros (which may happen to coincide) to measure from, those are the Cartesian ...
Jack's user avatar
  • 959
0 votes
2 answers
521 views

Decomposing Lagrangian into CM and relative parts with presence of uniform gravitational field

Most problems concerning two-body motion (using Lagrangian methods) often only consider the motion of two particles subject to no external forces. However, the Lagrangian should be decomposable into ...
Jonathan L.'s user avatar
0 votes
2 answers
156 views

Generalized coordinates as components

Why we cannot express Generalized coordinates as a vector like we do with Cartesian coordinates $x$ , $y$ ,$z$ ?
Apar Sharma's user avatar