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IssuesArchive of Issues2010-2pp.154-157

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M.V. Ishkhanyan, "The interconnection of sliding and rolling in the problem of the motion of a homogeneous sphere on a rough horizontal plane," J. Appl. Math. Mech. 74 (2), 154-157 (2010)
Year 2010 Volume 74 Issue 2 Pages 154-157
Title The interconnection of sliding and rolling in the problem of the motion of a homogeneous sphere on a rough horizontal plane
Author(s) M.V. Ishkhanyan (Moscow, Russia, margarita-ish@yandex.ru)
Abstract The motion of a homogeneous sphere on a rough horizontal plane when the angular velocities of the twisting and spinning of the sphere are equal to zero at the initial instant is considered. It is proved that, for any initial conditions, the angular velocity of the rolling of the sphere and the sliding velocity vanish after the same finite time. It is shown that the sliding and rolling are interconnected and, in particular, that the rolling of a sphere without sliding is impossible.
Received 15 August 2009
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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