Inclassical mechanics, aconstraint on asystem is aparameter 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]

• First class constraints andsecond 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) andNonholonomic system
• Pfaffian constraints
• Scleronomic constraints (not depending on time) andrheonomic constraints (depending on time)
• Ideal constraints: those for which the work done by the constraint forces under avirtual displacement vanishes.

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