Holonomic constraints

In classical mechanics, holonomic constraints are relations between the position variables (and possibly time) which can be expressed in the following form: $f(q_1, q_2, q_3,\ldots, q_{n}, t) = 0$ , where $\{ q_1, q_2, q_3, \ldots, q_{n} \}$ are the n coordinates which describe the system. For example, the motion of a particle constrained to lie on the surface of a sphere is subject to a holonomic constraint, but if the particle is able to fall off the sphere under the influence of gravity, the constraint becomes non-holonomic.

单词	Holonomic constraint
释义	Holonomic constraint 英语百科 Holonomic constraints In classical mechanics, holonomic constraints are relations between the position variables (and possibly time) which can be expressed in the following form: $f(q_1, q_2, q_3,\ldots, q_{n}, t) = 0$ , where $\{ q_1, q_2, q_3, \ldots, q_{n} \}$ are the n coordinates which describe the system. For example, the motion of a particle constrained to lie on the surface of a sphere is subject to a holonomic constraint, but if the particle is able to fall off the sphere under the influence of gravity, the constraint becomes non-holonomic.
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