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KIAM Preprint № 68, Moscow, 2002
Authors: Kuleshov A.S.
On the First Integrals of Equation of Motion of a Heavy Rotational Symmetric Body on a Perfectly Rough Plane.
The problem on a motion of a heavy rigid dynamically symmetric body, bounded by a surface of rotation, on a fixed horizontal plane without sliding is considered. In a case, when the bounded surface satisfies to certain condition, the explicit form of two first integrals of equation of motion of a body, in addition to the energy integral is found. These integrals are linear with respect to generalized velocities. This work supplements and develops results, received in classical work.
Publication language: russian
Research direction:
Theoretical and applied problems of mechanics
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