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Mathematics-Online problems:

Interactive Problem 673, Version 1: Mass, Center of Mass and Moment of Inertia

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Find the mass, the center of mass and the moment of inertia with respect to the $ z$-axis of the solid

\includegraphics[width=5cm]{c4_bild1}         
$ K: \ 1-\varrho^{2}\leq z \leq 4-4\varrho^{2}\,,$
with $ \varrho = \sqrt{x^{2}+y^{2}}\leq 1$ and density $ 1$.
 


Solution (give the rounded values up to the fourth position after the decimal point):

    Mass: $ m=$

    Center of mass: $ S=\Bigl($ $ ,$ $ ,$ $ \Bigr)$

    Moment of inertia respectively $ z$-axis: $ T_z=$


  

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  automatically generated: 8/11/2017