The Proceedings of the Dynamics & Design Conference
Online ISSN : 2424-2993
2003
Session ID : 637
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637 On Rising Motion of Spinning Boiled Eggs
Chikara MURAKAMI
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CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract
In this paper, attitude behavior of boiled eggs rotating on the table is concerned. After introducing a new paper concerning this item, the author tries different approach which admit inclination of the total angular momentum vector from the zenith. A very simple approximate second order equation of gyroscopic motion of spinning tops with small inclination angle including frictional effects is derived. Two eigen-values : nutational and precessional modes are given. It is pointed out that (1) initial rising motion is generated by nutation divergence of radial principal axis due to large radius of curveture near the contact point, (2) at final stage, the nutational mode becomes stable due to smaller curveture radius near the spinning axis, (3) locus of the contact point on the egg shell shows a shape of expanded coil spring which comes from inclination of the angular momentum vector to the zenit axis.
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© 2003 The Japan Society of Mechanical Engineers
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