Cycloidal pendulum with a rolling cylinder |
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| Authors: | V. P. Legeza |
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| Affiliation: | 1.National University of Food Technologies,Kiev,Ukraine |
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| Abstract: | Free vibrations of a heavy homogeneous cylinder rolling in a cylindrical cavity whose directing curve is a brachistochrone are considered. The equation of motion of the cylinder is derived and the circular frequency of free vibrations of the cylinder center of mass is determined. An analogy between the cycloidal pendulum with a rolling cylinder and the classical cycloidal pendulum in the form of a material point is obtained. |
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