nieswobodny

English translation: constrained

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
Polish term or phrase:nieswobodny
English translation:constrained
Entered by: Frank Szmulowicz, Ph. D.

14:02 Sep 2, 2019
Polish to English translations [PRO]
Science - Physics / Education / Course Description
Polish term or phrase: nieswobodny
Course description (college/university):

Ruch prostoliniowy nieswobodnego punktu materialnego.

non-free?
Darius Saczuk
United States
Local time: 04:33
constrained
Explanation:
Constrained Motion. In some cases a particle is forced to move along a curve or surface. This curve or surface is referred to as a constraint, and the resulting motion is called constrained motion. The particle exerts a force on the constraint, and by Newton's third law the constraint exerts a force on the particle.
https://people.maths.bris.ac.uk/~marrk/Mech/9_10_Projectiles...

--------------------------------------------------
Note added at 12 mins (2019-09-02 14:15:48 GMT)
--------------------------------------------------

Constrained motion of a particle on an elliptical path
In Section 2 we discuss the motion of a constrained particle on an ellipse within the framework of the standard approach and the Dirac approach.
https://www.sciencedirect.com/science/article/pii/S181538521...
cccccccccccccccccccccccccccccccc
An Introduction to Physically Based Modeling:
Constrained Dynamics
The idea of constrained particle dynamics is that our description of the system
https://www.cs.cmu.edu/~baraff/pbm/constraints.pdf
cccccccccccccccccc
One or more of the particles may each be subject to one or more holonomic constraints; such a constraint is described by an equation of the form f(r, t) = 0. If the number of constraints in the system is C, then each constraint has an equation, f1(r, t) = 0, f2(r, t) = 0, ... fC(r, t) = 0, each of which could apply to any of the particles. If particle k is subject to constraint i, then fi(rk, t) = 0. At any instant of time, the coordinates of a constrained particle are linked together and not independent. The constraint equations determine the allowed paths the particles can move along, but not where they are or how fast they go at every instant of time. Nonholonomic constraints depend on the particle velocities, accelerations, or higher derivatives of position. Lagrangian mechanics can only be applied to systems whose constraints, if any, are all holonomic. Three examples of nonholonomic constraints are:[11] when the constraint equations are nonintegrable, when the constraints have inequalities, or with complicated non-conservative forces like friction. Nonholonomic constraints require special treatment, and one may have to revert to Newtonian mechanics, or use other methods.
https://www.proz.com/kudoz/polish-to-english/physics/6703648...

--------------------------------------------------
Note added at 13 mins (2019-09-02 14:16:19 GMT)
--------------------------------------------------

really: https://en.wikipedia.org/wiki/Lagrangian_mechanics

--------------------------------------------------
Note added at 14 mins (2019-09-02 14:17:44 GMT)
--------------------------------------------------

ccccccccccccccccccc
Also
Polish term or phrase: układ nieswobodny
English translation: constrained system
Entered by: Polangmar
https://www.proz.com/kudoz/polish-to-english/mechanics-mech-...
cccccccccccccccccccccccc
punkt materialny nieswobodny
rzeczownik
constrained particle
https://www.diki.pl/slownik-angielskiego?q=punkt materialny ...
ccccccccccccccc
Selected response from:

Frank Szmulowicz, Ph. D.
United States
Local time: 04:33
Grading comment
Thank you, Frank.
4 KudoZ points were awarded for this answer



Summary of answers provided
3 +3constrained
Frank Szmulowicz, Ph. D.


  

Answers


3 mins   confidence: Answerer confidence 3/5Answerer confidence 3/5 peer agreement (net): +3
constrained


Explanation:
Constrained Motion. In some cases a particle is forced to move along a curve or surface. This curve or surface is referred to as a constraint, and the resulting motion is called constrained motion. The particle exerts a force on the constraint, and by Newton's third law the constraint exerts a force on the particle.
https://people.maths.bris.ac.uk/~marrk/Mech/9_10_Projectiles...

--------------------------------------------------
Note added at 12 mins (2019-09-02 14:15:48 GMT)
--------------------------------------------------

Constrained motion of a particle on an elliptical path
In Section 2 we discuss the motion of a constrained particle on an ellipse within the framework of the standard approach and the Dirac approach.
https://www.sciencedirect.com/science/article/pii/S181538521...
cccccccccccccccccccccccccccccccc
An Introduction to Physically Based Modeling:
Constrained Dynamics
The idea of constrained particle dynamics is that our description of the system
https://www.cs.cmu.edu/~baraff/pbm/constraints.pdf
cccccccccccccccccc
One or more of the particles may each be subject to one or more holonomic constraints; such a constraint is described by an equation of the form f(r, t) = 0. If the number of constraints in the system is C, then each constraint has an equation, f1(r, t) = 0, f2(r, t) = 0, ... fC(r, t) = 0, each of which could apply to any of the particles. If particle k is subject to constraint i, then fi(rk, t) = 0. At any instant of time, the coordinates of a constrained particle are linked together and not independent. The constraint equations determine the allowed paths the particles can move along, but not where they are or how fast they go at every instant of time. Nonholonomic constraints depend on the particle velocities, accelerations, or higher derivatives of position. Lagrangian mechanics can only be applied to systems whose constraints, if any, are all holonomic. Three examples of nonholonomic constraints are:[11] when the constraint equations are nonintegrable, when the constraints have inequalities, or with complicated non-conservative forces like friction. Nonholonomic constraints require special treatment, and one may have to revert to Newtonian mechanics, or use other methods.
https://www.proz.com/kudoz/polish-to-english/physics/6703648...

--------------------------------------------------
Note added at 13 mins (2019-09-02 14:16:19 GMT)
--------------------------------------------------

really: https://en.wikipedia.org/wiki/Lagrangian_mechanics

--------------------------------------------------
Note added at 14 mins (2019-09-02 14:17:44 GMT)
--------------------------------------------------

ccccccccccccccccccc
Also
Polish term or phrase: układ nieswobodny
English translation: constrained system
Entered by: Polangmar
https://www.proz.com/kudoz/polish-to-english/mechanics-mech-...
cccccccccccccccccccccccc
punkt materialny nieswobodny
rzeczownik
constrained particle
https://www.diki.pl/slownik-angielskiego?q=punkt materialny ...
ccccccccccccccc

Frank Szmulowicz, Ph. D.
United States
Local time: 04:33
Works in field
Native speaker of: Native in EnglishEnglish, Native in PolishPolish
PRO pts in category: 76
Grading comment
Thank you, Frank.
Notes to answerer
Asker: Thank you, Frank.


Peer comments on this answer (and responses from the answerer)
agree  Marian Krzymiński: jak najbardziej!
39 mins
  -> Dziękuję Marianie.

agree  M.A.B.
39 mins
  -> Dziękuję M. A. B.

agree  Jerzy Karpiuk: w mechanice klasycznej: więzy = constraints
5 hrs
  -> Dziękuję Jerzy.
Login to enter a peer comment (or grade)



Login or register (free and only takes a few minutes) to participate in this question.

You will also have access to many other tools and opportunities designed for those who have language-related jobs (or are passionate about them). Participation is free and the site has a strict confidentiality policy.

KudoZ™ translation help

The KudoZ network provides a framework for translators and others to assist each other with translations or explanations of terms and short phrases.


See also:
Term search
  • All of ProZ.com
  • Term search
  • Jobs
  • Forums
  • Multiple search