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Phys. Rev. Lett. 105, 044301 (2010) [4 pages]

Rolling Ribbons

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P. S. Raux1, P. M. Reis1, J. W. M. Bush1, and C. Clanet2
1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
2LadHyX, École Polytechnique, 91128 Palaiseau, France

Received 23 March 2010; published 23 July 2010

See accompanying Physics Synopsis

We present the results of a combined experimental and theoretical investigation of rolling elastic ribbons. Particular attention is given to characterizing the steady shapes that arise in static and dynamic rolling configurations. In both cases, above a critical value of the forcing (either gravitational or centrifugal), the ribbon assumes a two-lobed, peanut shape similar to that assumed by rolling droplets. Our theoretical model allows us to rationalize the observed shapes through consideration of the ribbon’s bending and stretching in response to the applied forcing.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.105.044301
DOI:
10.1103/PhysRevLett.105.044301
PACS:
46.70.De, 46.25.-y, 46.35.+z