
From:  Holst, Lena 
Subject:  [ESPResSousers] mathematical description of the argument rinertia by using rigid arrangement of particles 
Date:  Fri, 19 Jun 2015 07:52:55 +0000 
Hello, I have an question about the argument “rinertia”, that can be set by using rigid arrangement of particles. “rinertia” has the elements “x y z”.
Does means x: J_x = sum_i(m_i(x_i^2 + y_i^2)) Y: J_y = sum_i(m_i(x_i^2 + z_i^2)) Z: J_z = sum_i(m_i(x_i^2 + y_i^2)) Where i reaches from 1 to N (N is the number of virtual sites), m is the mass of one virtual site, and x,y,z the coordinates of the position of the virtual sites, if the point of origin is the
position of the nonvirtual site. J_x, J_y, J_z are the moments of inertia ordered to the coordinate axis. If the assumption is correct, can I say the rigid object has the mass M = sum_i(m_i) + m? Where the nonvirtual particle in the center of mass has the same mass m as the virtual sites. Kind regards and thanks a lot,
Lena Holst _________________________________________________________
Fraunhofer ICTIMM Gruppe Modellierung / Modeling Group Abteilung Zukunftstechnologien / Future Technologies Department CarlZeissStraße 1820, 55129 Mainz, Germany Phone +49 6131 990396 / Fax +49 6131 990205 / Mobile +49 15775327027 address@hidden
/ www.imm.fraunhofer.de 
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