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The study of the movements of a collection of connected bodies subject to external forces in the absence of deformation. This tag should be used for questions on the analysis of 2D/3D dynamics of rigid bodies, do NOT use this tag because your question contains a rigid structure.
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Lagrangian of the Euler equations [duplicate]
Do the Euler equations (where $I_1,I_2,I_3$ are principal moments of inertia):
$$I_1\dot{\omega}_1+(I_3-I_2)\omega_2\omega_3=M_1$$
$$I_2\dot{\omega}_2+(I_1-I_3)\omega_3\omega_1=M_2$$
$$I_3\dot{\omega …