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https://texercises.com/exercise/halbkreis-aus-stahldraht/
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The following quantities appear in the problem: Drehmoment \(\vec M\) /
The following formulas must be used to solve the exercise: \(\sum \stackrel{\curvearrowleft}{M} \stackrel{!}{=} \sum \stackrel{\curvearrowright}{M} \quad \)
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Exercise:
Bestimme den Schwerpunkt eines homogenen Stahldrahtes welcher zu einem Halbkreis gebogen wurde.

Solution:
center tikzpicturelatex draw- colorgreen!!black -. --. noderight x; draw- colorgreen!!black -.--. nodeabove y; drawultra thick arc::; filldrawcolorred fillred . circle .mm; tikzpicture center Die y-Schwerpunktskoordinate ist: sscys frac y ddmddm && ddm rho ddV rho Arddphi frac_-fracpi^fracpi rcosphi rho Arddphi_-fracpi^fracpi rho Arddphi fracrho Ar^leftsinphiright_-fracpi^fracpirho Arleftphiright_-fracpi^fracpi fracrho Ar^ rho Ar pi fracrpi
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Exercise:
Bestimme den Schwerpunkt eines homogenen Stahldrahtes welcher zu einem Halbkreis gebogen wurde.

Solution:
center tikzpicturelatex draw- colorgreen!!black -. --. noderight x; draw- colorgreen!!black -.--. nodeabove y; drawultra thick arc::; filldrawcolorred fillred . circle .mm; tikzpicture center Die y-Schwerpunktskoordinate ist: sscys frac y ddmddm && ddm rho ddV rho Arddphi frac_-fracpi^fracpi rcosphi rho Arddphi_-fracpi^fracpi rho Arddphi fracrho Ar^leftsinphiright_-fracpi^fracpirho Arleftphiright_-fracpi^fracpi fracrho Ar^ rho Ar pi fracrpi
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Attributes & Decorations
Tags
draht, körper, massenmittelpunkt, mechanik, physik, schwerpunkt, stahldraht, starrer körper
Difficulty
(6, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image