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In classical mechanics, holonomic constraints are relations between the position variables (and possibly time) which can be expressed in the following form: , where 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. Velocity-dependent constraints such as are not usually holonomic. ==Holonomic system (physics)== 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 . It does not depend on the velocities. A constraint that cannot be expressed in the form shown above is a nonholonomic constraint. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「holonomic constraints」の詳細全文を読む スポンサード リンク
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