Exercise
https://texercises.raemilab.ch/exercise/hebelarm-um-korper-in-rotation-zu-versetzen/
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The following quantities appear in the problem: Länge \(\ell\) / Masse \(m\) / Kraft \(F\) / Trägheitsmoment \(J, \Theta, I\) / Drehmoment \(\vec M\) / Radius \(r\) / Winkelbeschleunigung \(\alpha\) /
The following formulas must be used to solve the exercise: \(M = J\alpha \quad \) \(\vec M = \vec \ell \times \vec F \quad \) \(J = mr^2 \quad \) \(J = \frac12 mr^2 \quad \)
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Exercise:
Ein Körper JO soll innert tO aus der Ruhe auf wO Rotationsgeschwindigkeit versetzt werden. In Welchem Abstand zur Drehachse müssten dazu FO angreifen?

Solution:
alpha fracomegat alp M Jalpha J fracomegat fracomega Jt fracw Jt M r fracMF fracfracomega JtF fracomega JtF fracw Jt F r r fracomega JtF r
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Exercise:
Ein Körper JO soll innert tO aus der Ruhe auf wO Rotationsgeschwindigkeit versetzt werden. In Welchem Abstand zur Drehachse müssten dazu FO angreifen?

Solution:
alpha fracomegat alp M Jalpha J fracomegat fracomega Jt fracw Jt M r fracMF fracfracomega JtF fracomega JtF fracw Jt F r r fracomega JtF r
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Topic
Tags
drehmoment, kraft, körper, mechanik, physik, rotation, trägheitsmoment
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
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