Generalized forces, the Glossary
In analytical mechanics (particularly Lagrangian mechanics), generalized forces are conjugate to generalized coordinates.[1]
Table of Contents
10 relations: Analytical mechanics, D'Alembert's principle, Degrees of freedom (physics and chemistry), Fictitious force, Force, Generalized coordinates, Lagrangian mechanics, Physical system, Virtual displacement, Virtual work.
- Lagrangian mechanics
- Mechanical quantities
Analytical mechanics
In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related formulations of classical mechanics.
See Generalized forces and Analytical mechanics
D'Alembert's principle
D'Alembert's principle, also known as the Lagrange–d'Alembert principle, is a statement of the fundamental classical laws of motion. Generalized forces and D'Alembert's principle are classical mechanics and Lagrangian mechanics.
See Generalized forces and D'Alembert's principle
Degrees of freedom (physics and chemistry)
In physics and chemistry, a degree of freedom is an independent physical parameter in the formal description of the state of a physical system.
See Generalized forces and Degrees of freedom (physics and chemistry)
Fictitious force
A fictitious force is a force that appears to act on a mass whose motion is described using a non-inertial frame of reference, such as a linearly accelerating or rotating reference frame. Generalized forces and fictitious force are classical mechanics.
See Generalized forces and Fictitious force
Force
A force is an influence that can cause an object to change its velocity, i.e., to accelerate, meaning a change in speed or direction, unless counterbalanced by other forces. Generalized forces and force are classical mechanics.
See Generalized forces and Force
Generalized coordinates
In analytical mechanics, generalized coordinates are a set of parameters used to represent the state of a system in a configuration space. Generalized forces and generalized coordinates are Lagrangian mechanics and mechanical quantities.
See Generalized forces and Generalized coordinates
Lagrangian mechanics
In physics, Lagrangian mechanics is a formulation of classical mechanics founded on the stationary-action principle (also known as the principle of least action). Generalized forces and Lagrangian mechanics are classical mechanics.
See Generalized forces and Lagrangian mechanics
Physical system
A physical system is a collection of physical objects under study.
See Generalized forces and Physical system
Virtual displacement
In analytical mechanics, a branch of applied mathematics and physics, a virtual displacement (or infinitesimal variation) \delta \gamma shows how the mechanical system's trajectory can hypothetically (hence the term virtual) deviate very slightly from the actual trajectory \gamma of the system without violating the system's constraints. Generalized forces and virtual displacement are classical mechanics and Lagrangian mechanics.
See Generalized forces and Virtual displacement
Virtual work
In mechanics, virtual work arises in the application of the principle of least action to the study of forces and movement of a mechanical system.
See Generalized forces and Virtual work
See also
Lagrangian mechanics
- + h.c.
- AQUAL
- Action (physics)
- Averaged Lagrangian
- Canonical coordinates
- Classical field theory
- Conformal gravity
- Covariant classical field theory
- D'Alembert's principle
- FLEXPART
- Fiber derivative
- Generalized coordinates
- Generalized forces
- Geometric mechanics
- Gibbons–Hawking–York boundary term
- Halo orbit
- Hamilton's principle
- Inverse problem for Lagrangian mechanics
- Jacobi coordinates
- Joseph-Louis Lagrange
- Lagrange point
- Lagrange stability
- Lagrangian mechanics
- Lagrangian system
- Lissajous orbit
- Lyapunov stability
- Minimal coupling
- Monogenic system
- Ostrogradsky instability
- Palatini variation
- Rayleigh dissipation function
- Relativistic Lagrangian mechanics
- Rheonomous
- Scleronomous
- Tautological one-form
- Total derivative
- Virtual displacement
Mechanical quantities
- Action (physics)
- Angular momentum
- Bending moment
- Bulk modulus
- Compressibility
- Elastic modulus
- Generalized coordinates
- Generalized forces
- Impulse (physics)
- Kinetic energy
- Mass density
- Mass flow rate
- Mechanical efficiency
- Mechanical energy
- Moment of inertia
- Momentum
- Poisson's ratio
- Potential energy
- Pressure
- Second moment of area
- Second polar moment of area
- Section modulus
- Shear modulus
- Shear stress
- Specific volume
- Surface tension
- Torque
- Volumetric flow rate
- Weight
- Work (physics)
References
[1] https://en.wikipedia.org/wiki/Generalized_forces
Also known as Generalized force.