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The motion of a sphere with weak nutation on a rough horizontal plane - MaRDI portal

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The motion of a sphere with weak nutation on a rough horizontal plane (Q1338033)

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scientific article; zbMATH DE number 687946
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English
The motion of a sphere with weak nutation on a rough horizontal plane
scientific article; zbMATH DE number 687946

    Statements

    The motion of a sphere with weak nutation on a rough horizontal plane (English)
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    17 November 1994
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    For the motion of a sphere on a rough horizontal plane, in the previous paper [J. Appl. Mech. 58, No. 1, 296-298 (1991)], the author provided an approximate analytical solution when the nutation was neglected. In this paper, the control equations for the sphere with nutation have been deduced. Through solving these equations, the conclusion about the velocity of contact point in the above paper is proved to be true in the case of nutation. Under the condition of weak nutation, approximate analytical solutions are obtained.
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    control equations
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    velocity of contact point
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    approximate analytical solutions
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