Partial Differential Equations
Holonomic constraints are restrictions in a mechanical system that can be expressed as equations relating the coordinates of the system's configuration. These constraints are integrable, meaning they can be derived from a scalar function, and they typically involve only the generalized coordinates without involving their velocities. In the context of variational principles and the Euler-Lagrange equation, holonomic constraints play a crucial role in determining the equations of motion for a system by simplifying the variational problem.
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