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Constraint (mechanics)

Topic: Physics

 From HandWiki - Reading time: 1 min

Short description: Parameter which a physical system must obey
In this system the box slides down a slope, the constraint is that the box must remain on the slope (it cannot go through it or start flying).

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.

References

  1. ↑ Leach, Dr Andrew (2001-01-30) (in en). Molecular Modelling: Principles and Applications (2nd ed.). Harlow: Prentice Hall. pp. 369–370. ISBN 9780582382107. 

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