A sphere moving down the surface of a static sphere and a simple phase diagram

2008/08/26 by V. Jayanth, Jayanth, V., C. R. Raghunandan +3
Physics and Astronomy · Engineering · #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Fluid Dynamics Simulations and Interactions

paper · pdf · doi:10.48550/arxiv.0808.3531

Abstract

A small sphere placed on the top of a big static frictionless sphere, slips until it leaves the surface at an angle θ_l=cos^-12/3. On the other extreme, if the surface of the big sphere has coefficient of static friction, μ_s→∞, the small sphere starts rolling and continues to do so until it leaves the surface at an angle θ_l =cos^-110/17. In the case where, 0≤μ_s

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