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Towards a Prototype of a Spherical Tippe Top
Joint Authors
Ciocci, M. C.
Langerock, B.
Grimonprez, B.
Malengier, Benny
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-34, 34 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-09
Country of Publication
Egypt
No. of Pages
34
Main Subjects
Abstract EN
Among spinning objects, the tippe top exhibits one of the most bizarre and counterintuitive behaviours.
The commercially available tippe tops basically consist of a section of a sphere with a rod.
After spinning on its rounded body, the top flips over and continues spinning on the stem.
The commonly used simplified mathematical model for the tippe top is a sphere whose mass distribution is axially but not spherically symmetric, spinning on a flat surface subject to a small friction force that is due to sliding.
Three main different dynamical behaviours are distinguished: tipping, nontipping, hanging, that is, the top rises but converges to an intermediate state instead of rising all the way to the vertical state.
Subclasses according to the stability of relative equilibria can further be distinguished.
Our concern is the degree of confidence in the mathematical model predictions, we applied 3D printing and rapid prototyping to manufacture a “3-in-1 toy” that could catch the three main characteristics defining the three main groups in the classification of spherical tippe tops as mentioned above.
We propose three designs.
This “toy” is suitable to validate the mathematical model qualitatively and quantitatively.
American Psychological Association (APA)
Ciocci, M. C.& Malengier, Benny& Langerock, B.& Grimonprez, B.. 2012. Towards a Prototype of a Spherical Tippe Top. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-34.
https://search.emarefa.net/detail/BIM-1028793
Modern Language Association (MLA)
Ciocci, M. C.…[et al.]. Towards a Prototype of a Spherical Tippe Top. Journal of Applied Mathematics No. 2012 (2012), pp.1-34.
https://search.emarefa.net/detail/BIM-1028793
American Medical Association (AMA)
Ciocci, M. C.& Malengier, Benny& Langerock, B.& Grimonprez, B.. Towards a Prototype of a Spherical Tippe Top. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-34.
https://search.emarefa.net/detail/BIM-1028793
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028793