Holonomic Constraints
In classical mechanics, holonomic constraints are relations between the coordinates (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.
Read more about Holonomic Constraints: Holonomic System (physics)
Famous quotes containing the word constraints:
“The analogy between the mind and a computer fails for many reasons. The brain is constructed by principles that assure diversity and degeneracy. Unlike a computer, it has no replicative memory. It is historical and value driven. It forms categories by internal criteria and by constraints acting at many scales, not by means of a syntactically constructed program. The world with which the brain interacts is not unequivocally made up of classical categories.”
—Gerald M. Edelman (b. 1928)