Abstract
Formulas are obtained that make it possible to realize a predetermined motion of a rigid body with respect to its center of mass in a coordinate system with this center and translating axes. It is shown that there are two significantly different cases. In the first case, the point should always be in a certain plane, which not only makes it possible to implement any required movement from this class but also allows us to use the ambiguity of the solution so that, for example, the point always moves along the same path in the specified plane. In the second case, the solution turns out to be unique and the material point should have, generally speaking, a separate spatial trajectory for each given program of reorientation of a rigid body. Moreover, in this case only those motions that satisfy the found condition can be realized.
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This work was supported by the Russian Science Foundation, grant no. 18-11-00307.
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Shmatkov, A.M. Objects Changing the Spatial Orientation of a Solid Body by Using Mobile Mass. J. Comput. Syst. Sci. Int. 59, 622–629 (2020). https://doi.org/10.1134/S1064230720040139
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DOI: https://doi.org/10.1134/S1064230720040139