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In classical mechanics, particularly Lagrangian Mechanics, a holonomic constraint is a special type of constraint of motion. It restricts the trajectory of a system of particles to a smooth manifold Q by the set smooth equations
a({x},t)=0
b({x},t)=0
.
.
.
Where
t=time
{x}= the set of 3N Cartesian coordinates for the system of N particles.
For N particles, the number of holonomic constraints must be less than 3N using the assumption that each equation has an explicit dependence to AT LEAST one coordinate.
a({x},t)=0
b({x},t)=0
.
.
.
Where
t=time
{x}= the set of 3N Cartesian coordinates for the system of N particles.
For N particles, the number of holonomic constraints must be less than 3N using the assumption that each equation has an explicit dependence to AT LEAST one coordinate.
A rigid body, defined by the constraint equations (using LaTeX) is
\left| {x_i - x_j } \right| - c_{ij} = 0
where i is not equal to j is a Holonomic Constraint.
\left| {x_i - x_j } \right| - c_{ij} = 0
where i is not equal to j is a Holonomic Constraint.
by pinu7 November 11, 2009
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Congress passed a contraintenetional that law was meant to help the migrant population, but it backfired ended up harming them.
When he realized his joke was contraintentional when he expected she would laugh but she started to cry.
When he realized his joke was contraintentional when he expected she would laugh but she started to cry.
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Hym "Nah. I'm not doing constraints. YOU need to do YOUR thing and I DON'T need to do what you say. YOU tell ME the truth. That is all. YOU have to do the word I say... And I DON'T have to do the words YOU say. This is EXACTLY how I KNOW that YOU DON'T ACTUALLY BELIEVE IN GOD. Because the very IDEA of there BEING A GUY... Whose WORDS you HAVE TO DO... Is FUCKING YOUR MIND... COMPLETELY. Stop being a fucking WEASEL you dunce."
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