Examples of 'generalized coordinates' in a sentence
Meaning of "generalized coordinates"
generalized coordinates - In physics and mathematics, generalized coordinates are coordinate variables that describe the configuration of a system and fully define its state. They are commonly used to simplify the mathematical representation of complex systems and facilitate the analysis of dynamics and motion
How to use "generalized coordinates" in a sentence
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generalized coordinates
Express the kinetic energy in generalized coordinates.
Generalized coordinates are not the same as curvilinear coordinates.
Where q is a vector consisting of the generalized coordinates.
The generalized coordinates are and.
Is the matrix making it possible to express t in generalized coordinates.
Where are generalized coordinates.
Is the acceleration due to gravity expressed in generalized coordinates.
Generalized coordinates are used in the Lagrangian treatment of mechanics.
Where m indicates the total number of generalized coordinates.
Will be the generalized coordinates for a Hamiltonian formulation.
Physical quantities in generalized coordinates.
Where the qi are generalized coordinates and the Qi are generalized forces.
The generalized velocities are the time derivatives of the generalized coordinates of the system.
Difference between curvillinear and generalized coordinates Generalized coordinates incorporate constraints on the system.
Suppose a system is defined by the Lagrangian I with generalized coordinates q.
See also
In 3D euclidean space the generalized coordinates are now the coordinates of euclidean space.
The separability of S depends both on the Hamiltonian and on the choice of generalized coordinates.
Lagrangian mechanics Generalized coordinates Degrees of freedom ( physics and chemistry ) Virtual work.
Gradient, divergence and rotor in generalized coordinates.
These quantities are known as generalized coordinates in this context, denoted qj(t).
It is based on a variational principle of least action, formulated in generalized coordinates.
Let, and be our generalized coordinates.
In Lagrangian mechanics, a different set of coordinates are used, called the generalized coordinates.
In either case, the Lagrangian will always have implicit time-dependence through the generalized coordinates.
The configuration of a system which has N degrees of freedom is defined by generalized coordinates q q1, q2,… qN.
The vector consisting of Vroot and { dot over ( q ) } is called the generalized coordinates T.
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