Nonholonomic System - Constraints

Constraints

A nonholonomic constraint has the form given below and is nonintegrable:

is the number of coordinates.
is the number of constraint equations.
are coordinates.
are coefficients.

In order for the above form to be nonholonomic, it is also required that the left hand side neither be a total differential nor be able to be converted into one, perhaps via an integrating factor.

For virtual displacements only, the differential form of the constraint is

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