reference state. The generalized velocities are the time derivatives of the generalized coordinates of the system. The adjective "generalized" distinguishes...
28 KB (4,543 words) - 05:04, 28 October 2023
Barycentric coordinate system (redirect from Generalized barycentric coordinates)
point not having unique generalized barycentric coordinates except when P is a simplex. Dual to generalized barycentric coordinates are slack variables,...
44 KB (8,186 words) - 17:45, 19 June 2024
details. As Hamiltonian mechanics are generalized by symplectic geometry and canonical transformations are generalized by contact transformations, so the...
6 KB (872 words) - 00:34, 31 October 2023
Lagrangian mechanics (redirect from Cyclic coordinates)
this vk, the kinetic energy in generalized coordinates depends on the generalized velocities, generalized coordinates, and time if the position vectors...
90 KB (14,229 words) - 15:08, 6 August 2024
the generalized coordinates and velocities (q, q̇) with (q, p); the generalized coordinates and the generalized momenta conjugate to the generalized coordinates:...
40 KB (5,759 words) - 04:26, 12 February 2024
mechanics (particularly Lagrangian mechanics), generalized forces are conjugate to generalized coordinates. They are obtained from the applied forces Fi...
5 KB (820 words) - 05:03, 28 October 2023
coordinates, which we denote as w {\displaystyle \mathbf {w} } (the action angles, which are the generalized coordinates) and their new generalized momenta...
9 KB (1,511 words) - 00:00, 25 April 2024
Coordinate system (redirect from Coordinates)
Plücker coordinates are a way of representing lines in 3D Euclidean space using a six-tuple of numbers as homogeneous coordinates. Generalized coordinates are...
19 KB (2,265 words) - 18:38, 8 July 2024
choice of generalized coordinates. For orthogonal coordinates and Hamiltonians that have no time dependence and are quadratic in the generalized momenta...
44 KB (8,124 words) - 20:29, 13 May 2024
the configuration of a system are called generalized coordinates, and the space defined by these coordinates is called the configuration space of the...
10 KB (1,410 words) - 07:45, 25 November 2023