Difference between holonomic and nonholonomic constraints
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Non-holonomic constraints are basically just all other cases: when the constraints cannot be written as an equation between coordinates (but often as an inequality). An example of a system with non-holonomic constraints is a particle trapped in a spherical shell.
In classical mechanics a system may be defined as holonomic if all constraints of the system are holonomic. For a constraint to be holonomic it must be expressible as a function: i.e. a holonomic constraint depends only on the coordinates and time .
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