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A Sphere Moving Down an Inclined Bumpy Surface

by Chyan-Deng Jan, Univ of California, Berkeley, United States,
Hsieh Wen Shen, Univ of California, Berkeley, United States,
Chi-Hai Ling, Univ of California, Berkeley, United States,
Cheng-lung Chen, Univ of California, Berkeley, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

A sphere moving down a bumpy incline in the air is studied theoretically and experimentally. A method based on the principle of energy conservation is used to express the average velocity of a sphere moving down the incline without any acceleration or deceleration. Two empirical coefficients in the theoretical expression of the average velocity of a sphere were determined by experiments. Using this theoretical average velocity, one can compute and then compare the collision and non-collision parts of the shear stress exerted on the interface between the moving sphere and the bumpy incline.

Subject Headings: Spheres | Fluid flow | Shear stress | Granular materials | Fluid velocity | Stress analysis | Motion (dynamics)

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