Constraint (classical mechanics)
From Infogalactic: the planetary knowledge core
In classical mechanics, a constraint is a relation between coordinates and momenta (and possibly higher derivatives of the coordinates). In other words, a constraint is a restriction on the freedom of movement of a system of particles.
Types of constraint
- First class constraints and second class constraints
- Primary constraints, secondary constraints, tertiary constraints, quaternary constraints.
- Holonomic constraints, also called integrable constraints, (depending on time and the coordinates but not on the momenta) and Non-holonomic constraints
- Pfaffian constraints
- Scleronomous constraints (not depending on time) and rheonomous constraints (depending on time).
- Ideal constraints: those for which the work done by the constraint forces under a virtual displacement vanishes.
References
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