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Conditions for pure rolling of a heavy cylinder along a brachistochrone

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International Applied Mechanics Aims and scope

Algebraic equations for the line of steepest descent of a cylinder are derived in parametric form. Conditions for rolling without slipping and separation of the cylinder along a brachistochrone are established based on the equations of motion with constraint reaction. The important conclusion is drawn that the center of mass of a cylinder moving along a brachistochrone describes a cycloid

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  1. National University of Live and Environmental Sciences of Ukraine, 15 Geroev Oborony St., Kyiv, Ukraine, 03041

    V. P. Legeza

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Correspondence to V. P. Legeza.

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Translated from Prikladnaya Mekhanika, Vol. 46, No. 6, pp. 137–143, June 2010.

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Legeza, V.P. Conditions for pure rolling of a heavy cylinder along a brachistochrone. Int Appl Mech 46, 730–735 (2010). https://doi.org/10.1007/s10778-010-0361-x

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  • DOI: https://doi.org/10.1007/s10778-010-0361-x

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