Holonomic Constraint
In classical mechanics, particularly Lagrangian Mechanics, a holonomic constraint is a special type of constraint of motion. It restricts the trajectory of a system of particles to a smooth manifold Q by the set smooth equations a({x},t)=0 b({x},t)=0 . . . Where t=time {x}= the set of 3N Cartesian coordinates for the system of N particles. For N particles, the number of holonomic constraints must be less than 3N using the assumption that each equation has an explicit dependence to AT LEAST one coordinate.
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