Exercise
https://texercises.com/exercise/starrer-korper-tragheitsmoment-und-rotationsenergie-9/
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Exercise:
Berechnen Sie das Trägheitsmoment des Stabes in Abbildung reffig:TMomentSchiefStab bezüglich der x-Achse. quad quad figureH includegraphicswidthtextwidth#image_path:TMomentSchiefStab# caption labelfig:TMomentSchiefStab figure

Solution:
. * &J_x y^ dm y^ fracmell dell fracmell y^ dell &J_x fracmell _^ellcosvarphi left x tanvarphi right^ fracdxcosvarphi fracmtan^varphiellcosvarphi _^ellcosvarphi x^ dx fracmsin^varphiellcos^varphi left fracx^ right_^ellcosvarphi &J_x fracmsin^varphiellcos^varphi left fracell^cos^varphi - right tfracmell^sin^varphi &textTest mit Spezialfällen &varphi Rightarrow J_x quad checkmark &varphi pi/ Rightarrow J_x tfracmell^ quad checkmark % . September Lie. * newpage
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\(\LaTeX\)-Code
Exercise:
Berechnen Sie das Trägheitsmoment des Stabes in Abbildung reffig:TMomentSchiefStab bezüglich der x-Achse. quad quad figureH includegraphicswidthtextwidth#image_path:TMomentSchiefStab# caption labelfig:TMomentSchiefStab figure

Solution:
. * &J_x y^ dm y^ fracmell dell fracmell y^ dell &J_x fracmell _^ellcosvarphi left x tanvarphi right^ fracdxcosvarphi fracmtan^varphiellcosvarphi _^ellcosvarphi x^ dx fracmsin^varphiellcos^varphi left fracx^ right_^ellcosvarphi &J_x fracmsin^varphiellcos^varphi left fracell^cos^varphi - right tfracmell^sin^varphi &textTest mit Spezialfällen &varphi Rightarrow J_x quad checkmark &varphi pi/ Rightarrow J_x tfracmell^ quad checkmark % . September Lie. * newpage
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TMomentSchiefStab
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Language
GER (Deutsch)
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Calculative / Quantity
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