The theory of the spinning impact of imperfectly elastic bodies |
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Authors: | Z Horák I Pacáková |
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Institution: | (1) Dept. of Physics, Mechanical Engineering Faculty, Czech Technical University, Prague |
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Abstract: | The first theoretical solution is given of the spinning impact of an imperfectly elastic sphere on a rigid, imperfectly rough plane. The method of solution is based on the general static theory of the impact of rough bodies, elaborated by one of the authors in 1952 5]. The problem leads to a non-linear differential equation, which can be solved only by an approximate numerical method. The results of the theory are in good agreement with the experiments carried out in 1947 4].
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![icy](/content/qpt305410q381207/xxlarge1080.gif) ![kcy](/content/qpt305410q381207/xxlarge1082.gif) ![scy](/content/qpt305410q381207/xxlarge1089.gif) ![pcy](/content/qpt305410q381207/xxlarge1087.gif) ![iecy](/content/qpt305410q381207/xxlarge1077.gif) ![rcy](/content/qpt305410q381207/xxlarge1088.gif) ![icy](/content/qpt305410q381207/xxlarge1080.gif) ![mcy](/content/qpt305410q381207/xxlarge1084.gif) ![iecy](/content/qpt305410q381207/xxlarge1077.gif) ![ncy](/content/qpt305410q381207/xxlarge1085.gif) ![tcy](/content/qpt305410q381207/xxlarge1090.gif) ![ocy](/content/qpt305410q381207/xxlarge1086.gif) .
In conclusion the authors thank Dr. Vaclav Goldbach, lecturer at our department, for valuable help in making the experimental apparatus and in carrying out the difficult measurements by the method described in section 3 of this paper. Our thanks also go to O. Br ha for help in the graphical solution and drawing of the figures. |
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