Forced precession in a spinning wheel supported on a rotating pivot |
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Institution: | 1. Soete Laboratory, Department of Electrical Energy, Metals, Mechanical Construction and Systems (EEMMeCS), Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium;2. SIM-Flanders vzw, Technologiepark 935, 9052 Zwijnaarde, Belgium |
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Abstract: | This paper deals with the mechanics involved in a spinning wheel of which the pivot is not fixed as usual but is forced to rotate along the circumference of a circle on the horizontal plane. The usual Euler equations are extended so that, in addition to the three well-known rotations (Euler angles), they also include a fourth one related to the rotation of the motor that induces the forced precession. This study aims at offering a first insight in one of the renowned Laithwaite's experiments. The derived theoretical expressions are accompanied by computer simulation. |
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Keywords: | Spinning wheel Rotating pivot Laithwaite's experiment Biomechanics |
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