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Brachistochrone and Sliding with Friction

2023/05/26 by Андрей Валентинович Курилин, Kurilin, A. V.
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #J.2 #Mechanics and Biomechanics Studies #Robotic Mechanisms and Dynamics

paper · pdf · doi:10.48550/arxiv.2305.18345

openalex publication_date 2023/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motions of a material point along a set of parabolas are studied, taking into account the forces of Coulomb friction. The obtained results are compared with similar motions along the cycloid. The analysis is carried out using numerical calculations in the Mathcad program.

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