Kinematics of the most general motion of a rigid body

Kinematics of the most general motion of a rigid body

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A comparative analysis of the methods of obtaining Euler's kinematic equations has been made. For this purpose, Poisson's method has been used for obtaining the velocity distribution law and for introducing the angular velocity vector. A suggestion for a new approach to obtaining Euler's kinematic equations has been presented. The distribution velocity law obtained using the synthetic method has been reviewed in detail. This method is based on Euler's theorem and the introduction of the finite and infinitesimal rotations. The velocity distribution of the points in a rigid body's general motion...