twierdzenie o prostej sztywnej

English translation: theorem on all lines on a rigid body

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
Polish term or phrase:twierdzenie o prostej sztywnej
English translation:theorem on all lines on a rigid body
Entered by: Frank Szmulowicz, Ph. D.

21:42 Sep 5, 2019
Polish to English translations [PRO]
Science - Science (general) / general mechanics
Polish term or phrase: twierdzenie o prostej sztywnej
Course description: Kinematics

twierdzenie o prostej sztywnej

I know how to translate it literally, but, obviously, I want to consult experts.
Darius Saczuk
United States
Local time: 21:40
theorem on all lines on a rigid body
Explanation:

All lines on a rigid body in its plane of motion have the same angular
displacement, same angular velocity (ω), and same angular acceleration (α).
https://www.iitg.ac.in/kd/Lecture Notes/ME101-Lecture31-KD.p...

TWIERDZENIE O RZUTACH PRĘDKOŚCI
Rzuty prędkości dwóch punktów A i B ciała sztywnego
na prostą łączącą te punkty są sobie równe.
http://www.tu.kielce.pl/~grysa/TZ3.pdf

Characteristics of rigid body motion: All lines on a rigid body have the same angular velocity and the same angular acceleration . Rigid motion can be decomposed into the translation of an arbitrary point, followed by a rotation about the point.

https://www.brown.edu/Departments/Engineering/Courses/En4/no...

cc
Projections of the velocities of two points of a rigid body along the line joining them are identical
Selected response from:

Frank Szmulowicz, Ph. D.
United States
Local time: 21:40
Grading comment
Thank you, Frank.
4 KudoZ points were awarded for this answer



Summary of answers provided
2 +1theorem on all lines on a rigid body
Frank Szmulowicz, Ph. D.
Summary of reference entries provided
twierdzenie o ruchu prostej sztywnej (twierdzenia o rzutach prędkości)
geopiet

Discussion entries: 5





  

Answers


4 hrs   confidence: Answerer confidence 2/5Answerer confidence 2/5 peer agreement (net): +1
theorem on all lines on a rigid body


Explanation:

All lines on a rigid body in its plane of motion have the same angular
displacement, same angular velocity (ω), and same angular acceleration (α).
https://www.iitg.ac.in/kd/Lecture Notes/ME101-Lecture31-KD.p...

TWIERDZENIE O RZUTACH PRĘDKOŚCI
Rzuty prędkości dwóch punktów A i B ciała sztywnego
na prostą łączącą te punkty są sobie równe.
http://www.tu.kielce.pl/~grysa/TZ3.pdf

Characteristics of rigid body motion: All lines on a rigid body have the same angular velocity and the same angular acceleration . Rigid motion can be decomposed into the translation of an arbitrary point, followed by a rotation about the point.

https://www.brown.edu/Departments/Engineering/Courses/En4/no...

cc
Projections of the velocities of two points of a rigid body along the line joining them are identical


Frank Szmulowicz, Ph. D.
United States
Local time: 21:40
Native speaker of: Native in EnglishEnglish, Native in PolishPolish
PRO pts in category: 147
Grading comment
Thank you, Frank.

Peer comments on this answer (and responses from the answerer)
agree  A.G.: dla Projection of the velocities of two points of a rigid body
1 day 6 hrs
  -> Dziękuję A. G.. Serdecznie pozdrawiam.
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Reference comments


2 hrs peer agreement (net): +1
Reference: twierdzenie o ruchu prostej sztywnej (twierdzenia o rzutach prędkości)

Reference information:
twierdzenia o ruchu prostej sztywnej (twierdzenia o rzutach prędkości) - https://isn.page.link/wiYp - page 241 (Mechanika techniczna)

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W każdej chwili t rzut prędkości vA na prostą AB równa się rzutowi prędkości vB na tą prostą.
v AZ = vBZ

- http://www.tu.kielce.pl/~grysa/TZ3.pdf - page 21

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General Plane Motion (Kinematics of Rigid Bodies) & Velocity Diagrams
- https://www.youtube.com/watch?v=r8noZ11OZSY - od 20 sekundy

geopiet
Native speaker of: Native in PolishPolish
PRO pts in category: 34

Peer comments on this reference comment (and responses from the reference poster)
agree  Frank Szmulowicz, Ph. D.
1 hr
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