Cross, Rod
Published in
Physics Education

A loop-the-loop experiment is described to show how sliding friction affects motion of the ball. Conservation of energy can be used to explain the basic physics, but significant energy loss is observed in practice and expands the usefulness of this apparatus as a teaching tool.

Ardentov, A. A. Lokutsievskiy, L. V. Sachkov, Yu. L.
Published in
Doklady Mathematics

AbstractWe consider a number of optimal control problems with 2-dimensional control lying in an arbitrary convex compact set \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docume...

Xi, Jianfei Shen, Xuejin Chen, Xiaoyang
Published in
Mechanics & Industry

When the rolling bearing is working, sliding and rolling always exist in the friction pair simultaneously. The operating condition is complicated and fickle. For these kinds of behaviors, it is necessary to simulate the bearing sliding-rolling ratio (SRR), load, speed and other operating parameters in the wear-testing research between the rolling e...

Baez, John C Huerta, John

Understanding the exceptional Lie groups as the symmetry groups of simpler objects is a long-standing program in mathematics. Here, we explore one famous realization of the smallest exceptional Lie group, G2.Its Lie algebra g2acts locally as the symmetries of a ball rolling on a larger ball, but only when the ratio of radii is 1:3. Using the split ...

Grandine, T. A. Hogan, T. A.
Published in
Computing

Filleting and rounding operations are very useful in solid modeling. The most popular means of producing a fillet surface is by means of the so-called ``rolling ball blend.'' A new method, inspired by the rolling ball blend, which overcomes both of its serious drawbacks is presented in this paper.

Tomida, D. Kumagai, A. Yokoyama, C.
Published in
International Journal of Thermophysics

Experimental results for the viscosity of squalane + CO2 mixtures are reported. The viscosities were measured using a rolling ball viscometer. The experimental temperatures were 293.15, 313.15, 333.15, and 353.15 K, and pressures were 10.0, 15.0, and 20.0 MPa. The CO2 mole fraction of the mixtures varied from 0 to 0.417. The experimental uncertaint...