Exercise
https://texercises.com/exercise/drahtgebilde-1/
Question
Solution
Short
Video
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem: Drehmoment \(\vec M\) /
The following formulas must be used to solve the exercise: \(\sum \stackrel{\curvearrowleft}{M} \stackrel{!}{=} \sum \stackrel{\curvearrowright}{M} \quad \)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Berechne die xy-Koordinaten des Schwerpunktes des wie folgt geformten homogenen Drahtgebildes: center tikzpicturelatex drawcolorgreen!!black- ---. noderight x; drawcolorgreen!!black- -.--. nodeabove y; drawcolorgreen!!black -.----. nodebelow -; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .----.- nodeleft -; drawcolorgreen!!black .---. nodeleft ; drawcolorgreen!!black .---. nodeleft ; drawcolorgreen!!black .---. nodeleft ; drawvery thick ----------.---.-----cycle; tikzpicture center

Solution:
Die Massen der Teilabschnitte des Drahtes sind proportional zu ihrer Länge; daher kann man für die Massen einfach die Längen einsetzen: itemize item x-Koordinate: sscxS fracM _i^ m_i x_i fracsqrt +sqrt. .+. .+sqrt -.+sqrt -.+sqrt -.+sqrt .sqrt+sqrt.+.+sqrt+sqrt+sqrt+sqrt frac.. . item y-Koordinate: sscyS fracM _i^ m_i y_i fracsqrt .+sqrt. .+. +sqrt .+sqrt .+sqrt -.+sqrt -.sqrt+sqrt.+.+sqrt+sqrt+sqrt+sqrt frac.. . itemize sscxS . sscyS . center tikzpicturelatex drawcolorgreen!!black- ---. noderight x; drawcolorgreen!!black- -.--. nodeabove y; drawcolorgreen!!black -.----. nodebelow -; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .----.- nodeleft -; drawcolorgreen!!black .---. nodeleft ; drawcolorgreen!!black .---. nodeleft ; drawcolorgreen!!black .---. nodeleft ; drawvery thick ----------.---.-----cycle; filldrawcolorred . . circle .cm; tikzpicture center
Meta Information
\(\LaTeX\)-Code
Exercise:
Berechne die xy-Koordinaten des Schwerpunktes des wie folgt geformten homogenen Drahtgebildes: center tikzpicturelatex drawcolorgreen!!black- ---. noderight x; drawcolorgreen!!black- -.--. nodeabove y; drawcolorgreen!!black -.----. nodebelow -; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .----.- nodeleft -; drawcolorgreen!!black .---. nodeleft ; drawcolorgreen!!black .---. nodeleft ; drawcolorgreen!!black .---. nodeleft ; drawvery thick ----------.---.-----cycle; tikzpicture center

Solution:
Die Massen der Teilabschnitte des Drahtes sind proportional zu ihrer Länge; daher kann man für die Massen einfach die Längen einsetzen: itemize item x-Koordinate: sscxS fracM _i^ m_i x_i fracsqrt +sqrt. .+. .+sqrt -.+sqrt -.+sqrt -.+sqrt .sqrt+sqrt.+.+sqrt+sqrt+sqrt+sqrt frac.. . item y-Koordinate: sscyS fracM _i^ m_i y_i fracsqrt .+sqrt. .+. +sqrt .+sqrt .+sqrt -.+sqrt -.sqrt+sqrt.+.+sqrt+sqrt+sqrt+sqrt frac.. . itemize sscxS . sscyS . center tikzpicturelatex drawcolorgreen!!black- ---. noderight x; drawcolorgreen!!black- -.--. nodeabove y; drawcolorgreen!!black -.----. nodebelow -; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .---. nodebelow ; drawcolorgreen!!black .----.- nodeleft -; drawcolorgreen!!black .---. nodeleft ; drawcolorgreen!!black .---. nodeleft ; drawcolorgreen!!black .---. nodeleft ; drawvery thick ----------.---.-----cycle; filldrawcolorred . . circle .cm; tikzpicture center
Contained in these collections:

Attributes & Decorations
Tags
drahgebilde, draht, drehmoment, physik, schwerpunkt, stahldraht
Content image
Difficulty
(3, default)
Points
4 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link