The nearly horizontally rolling of a thick disk on a rough plane |
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Authors: | M Batista |
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Institution: | (1) Faculty of Maritime Studies and Transportation, University of Ljubljana, Pot pomorscakov 4, 6320 Portoroz, Slovenia |
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Abstract: | In the paper the analytical solution of the partially linearized equations of motion of nearly horizontally rolling of a thick
rigid disk on a perfectly rough horizontal plane under the action of gravity is given in terms of Whittaker functions. The
solution is used to obtain the asymptotic solutions for a very small inclination angle, the study of unilateral contact between
a disk and a plane and the study of disk colliding motion.
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Keywords: | disk rolling nonholonomic mechanics |
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