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generalized coordinates hamârâhâ-ye harvinidé Fr.: coordonnées généralisées In a material system, the independent parameters which completely specify
the configuration of the system, i.e. the position of its particles with respect
to the frame of reference. Usually each coordinate is designated by the letter
q, which may in special cases be the
→ _{1},
q_{2}Cartesian coordinates x, y, or the
→ polar coordinates r, θ, or any other
suitable pair of coordinates. A particle moving in a space is located by three
coordinates, which may be Cartesian coordinates x, y, z, or
→ spherical coordinates r, θ, φ, or in general
q.
The generalized coordinates are normally a "minimal set" of coordinates. For example,
in Cartesian coordinates the simple pendulum requires two coordinates (_{1}, q_{2}, q_{3}x and y),
but in polar
coordinates only one coordinate (θ) is required. So θ is the appropriate
generalized coordinate for the pendulum problem.→ |