Register to reply 
Generalized coordinates 
Share this thread: 
#1
Jul305, 01:34 PM

HW Helper
P: 3,224

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

Sci Advisor
HW Helper
P: 11,896

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


#3
Jul305, 01:40 PM

P: 78

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

Sci Advisor
HW Helper
P: 1,204

Generalized coordinates
Carl 


Register to reply 
Related Discussions  
From polar coordinates to heliocentric ecliptic coordinates  Astronomy & Astrophysics  0  
Generalized coordinates  Advanced Physics Homework  3  
Verifying that the EulerLagrange equation uses generalized coordinates  Advanced Physics Homework  1  
Generalized Coordinates: Double Pendulum  Advanced Physics Homework  9  
Lagrangian mechanics (problem with generalized coordinates)  Introductory Physics Homework  11 