Constraint (mechanics): Difference between revisions

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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

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

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

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+{{short description|Parameter which a physical system must obey}}
-[[File:Friction angle.png|thumb|n 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 a constrained system a condition is enforced which a system must obey. For example a box sliding down a slope must remain on the slope. There are two different types of constraints [[Holonomic constraints|holonomic]] and non-holonomic.<ref>{{Cite book|url=https://www.amazon.co.uk/Molecular-Modelling-Applications-Andrew-Leach/dp/0582382106/ref=sr_1_1?ie=UTF8&qid=1518083220&sr=8-1&keywords=molecular+modelling+principles+and+applications|title=Molecular Modelling: Principles and Applications|last=Leach|first=Dr Andrew|date=2001-01-30|publisher=Prentice Hall|year=|isbn=9780582382107|edition=2 edition|location=Harlow|pages=369-370|language=English}}</ref>
+[[File:Friction angle.png|thumb|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 [[Physical system|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 constraints|holonomic]] and non-holonomic.<ref>{{Cite book|title=Molecular Modelling: Principles and Applications|last=Leach|first=Dr Andrew|date=2001-01-30|publisher=Prentice Hall|isbn=9780582382107|edition= 2nd|location=Harlow|pages=369–370|language=en}}</ref>
 ==Types of constraint==
 *[[First class constraint]]s and [[second class constraints]]
-*[[Primary constraint]]s, [[secondary constraint]]s, [[tertiary constraint]]s, [[quaternary constraint]]s.
+*[[Primary constraint]]s, [[secondary constraint]]s, [[tertiary constraint]]s, [[quaternary constraint]]s
 *[[Holonomic constraints]], also called integrable constraints, (depending on time and the coordinates but not on the momenta) and [[Nonholonomic system]]
 *[[Pfaffian constraint]]s
-*[[Scleronomous constraint]]s (not depending on time) and [[rheonomous constraint]]s (depending on time).
+*[[Scleronomic constraint]]s (not depending on time) and [[rheonomic constraint]]s (depending on time)
 *Ideal constraints: those for which the work done by the constraint forces under a virtual displacement vanishes.
 ==References==
-{{refs}}
+{{reflist}}
-{{physics-stub}}
 [[Category:Classical mechanics]]
+[[fa: دستگاه‌های مقید]]
+{{classicalmechanics-stub}}
-[[de:Zwangsbedingung]]