Constraint (mechanics) explained

In classical mechanics, a constraint on a system is a parameter that the system must obey. For example, a box sliding down a slope must remain on the slope. There are two different types of constraints: holonomic and non-holonomic.^[1]

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 Nonholonomic system
• Pfaffian constraints
• Scleronomic constraints (not depending on time) and rheonomic constraints (depending on time)
• Ideal constraints: those for which the work done by the constraint forces under a virtual displacement vanishes.

Notes and References

1. Book: Leach, Dr Andrew. Molecular Modelling: Principles and Applications. 2001-01-30. Prentice Hall. 9780582382107. 2nd. Harlow. 369–370. en.