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- W20211504 abstract "General dynamics equations for an annular disk, “rolling” on its inner edge on a circular cylinder, are developed. It is found that kinematic constraint equations, caused by the “rolling” stipulation, require that of three kinetic equations only two are simultaneously valid. These constraint equations thus determine the allowable motions of the disk, and this leads to the application of the governing equations to three specific configurations for which there is respectively no roll, no pitch, and no yaw. In the first two cases, pendulum equations emerge, and in the third case, an equation describing the motion of the “hula hoop” toy is presented." @default.
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- W20211504 date "1967-01-01" @default.
- W20211504 modified "2023-09-23" @default.
- W20211504 title "DYNAMICS OF AN ANNULAR DISK ROLLING ON ITS INNER RIM ON A CIRCULAR CYLINDER" @default.
- W20211504 doi "https://doi.org/10.1016/b978-0-08-003132-3.50033-6" @default.
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