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Exercise:
Wie berechnet man das Trägheitsmoment eines Stabes?

Solution:
tikzpicturescale. filldrawcolorblack fillbrown rectangle .; drawcolorred thick .-. -- . nodemidway above rotatescriptsize Drehachse; drawcolorblue .. circle.cm; drawcolororange latex-latex .-. -- .-. node below midway r_iifracelln; drawcolorgreen latex-latex .. -- . node above midway fracell; drawcolorviolet latex-latex -. -- .-. node below midway fracelln; drawcolordarkgreen -latex .. -- .. node above left scriptsize n Teile; scope foreach x in ...... draw x*.--x*..; scope tikzpicture bf Diskrete Teilstücke: J _iDeltam_i r_i^ J _i^nfracmnleftifracellnright^ _i^nfracmn i^fracell^n^ fracmnfracell^n^tcbhighmath_i^ni^ fracmell^n^fracnn+n+ fracmell^fracn^+n^+nn^ xrightarrown rightarrow infty fracmell^ bf Infinitesimale Teilstücke: J r^ ddm r^ rho ddV r^ rho A ddr rho A _-a^a r^ ddr rho A frac leftr^right_-a^a rho A frac a^ frac rho A leftfracellright^ frac mell^ Falls Drehachse rechtwinklig zu einem Ende steh? rightarrow Satz von Steiner J_a J_b + ma^
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Exercise:
Wie berechnet man das Trägheitsmoment eines Stabes?

Solution:
tikzpicturescale. filldrawcolorblack fillbrown rectangle .; drawcolorred thick .-. -- . nodemidway above rotatescriptsize Drehachse; drawcolorblue .. circle.cm; drawcolororange latex-latex .-. -- .-. node below midway r_iifracelln; drawcolorgreen latex-latex .. -- . node above midway fracell; drawcolorviolet latex-latex -. -- .-. node below midway fracelln; drawcolordarkgreen -latex .. -- .. node above left scriptsize n Teile; scope foreach x in ...... draw x*.--x*..; scope tikzpicture bf Diskrete Teilstücke: J _iDeltam_i r_i^ J _i^nfracmnleftifracellnright^ _i^nfracmn i^fracell^n^ fracmnfracell^n^tcbhighmath_i^ni^ fracmell^n^fracnn+n+ fracmell^fracn^+n^+nn^ xrightarrown rightarrow infty fracmell^ bf Infinitesimale Teilstücke: J r^ ddm r^ rho ddV r^ rho A ddr rho A _-a^a r^ ddr rho A frac leftr^right_-a^a rho A frac a^ frac rho A leftfracellright^ frac mell^ Falls Drehachse rechtwinklig zu einem Ende steh? rightarrow Satz von Steiner J_a J_b + ma^
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Tags
höhe, matura, mechanik, mündlich, pam, physik, rotation, stab, trägheitsmoment, zw
Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image