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# Questions tagged [coordinate-systems]

A set of numbers used to quantify location in space.

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3 answers
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### Choice of Generalized Coordinates

I am working on solving problem 5.24 from the $3^{\mathrm{rd}}$ edition of Goldstein's Classical Mechanics: A wheel rolls down a flat inclined surface that makes an angle $\alpha$ with the horizontal....
2 votes
0 answers
30 views

### Hamiltonian is unbounded from below in only one coordinate system

I'm studying a complex scalar field theory in a spatially flat FLRW background. Using the standard conformal time metric $$ds^2 = dt^2 - a^2(dr^2 - r^2 d\Omega_2^2)$$ (where $a$ is the scale factor), ...
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### Transforming normals into a specific coordinate system [migrated]

Let's say I have normals defined from points of latitude and longitude on a sphere (represents the satellite object). The coordinate system we want to transform these normals into is z points to ...
3 votes
4 answers
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### How do I know if a motion is 1 dimensional or 2 dimensional?

If an object is moving in a straight line with an angle with x axis (it may be vertical or horizontal) , is it 1 dimensional or 2 dimensional? The question was asked by my teacher and he himself gave ...
4 votes
3 answers
259 views

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1 answer
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### Differential form of Lorentz equations

A Lorentz transformation for a boost in the $x$ direction ($S'$ moves in $+x$, $v>0$) is given by: $$t'=\gamma\left(t-v\frac{x}{c^2}\right),~x'=\gamma(x-vt)$$ In the derivation of the addition of ...
• 71
1 vote
1 answer
56 views

### How to transform coordinates in the Action equation?

For a particle moving in one dimension, and we have two people describing the motion of that particle one is stationary (let's call him Lenny) and the other (George) is moving relative to Lenny. Lenny'...
• 77
6 votes
1 answer
160 views

0 votes
2 answers
112 views

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