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Generalized coordinates 
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#1
Jul305, 01:34 PM

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I have just started to read Goldstein's classical mechanics, and he got me a bit confused: is it correct to think of polar and spherical coordinates as of generalized coordinates? the way I got it, every coordinate system different from the standard cartesianone is a set of generalized coordinates...?



#2
Jul305, 01:38 PM

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No. Think about the 1D movement along the "x" axis. Which is the generalized coordinate...?
Daniel. 


#3
Jul305, 01:40 PM

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Generalized coordinates refer to any coordinate system. i.e. a statement about generalized coordinates holds for cartesian, spherical, cylindrical, etc. coordinate systems. In particular, one is free to choose any convenient coordinate system for a problem and solve the problem using Lagrange's equations for that coordinate system.



#4
Jul305, 05:14 PM

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Generalized coordinates
Carl 


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