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Tribology Letters

, Volume 50, Issue 3, pp 379–385 | Cite as

Calculated Trajectories of Curling Stones Sliding Under Asymmetrical Friction: Validation of Published Models

  • Harald NybergEmail author
  • Sture Hogmark
  • Staffan Jacobson
Original Paper

Abstract

In the sport of curling, stones are slid across an ice sheet, aimed towards a target area. A sliding stone does not move in a straight line, but follows a curled trajectory, deviating in a direction determined by its rotation. As yet, no satisfactory explanation for this motion has been presented, although many attempts have been made. In many of them, the curling motion has been attributed to an asymmetrical distribution of the friction force acting on the sliding stone, typically such that the friction on the rear of the stone (as seen in the direction of motion) is higher than that on the front. In this paper, the motion of a rotating curling stone sliding over ice is calculated, for different assumed distributions of the coefficient of friction in the contact between stone and ice, using a numerical method. It is shown that no redistribution of the friction, no matter how extreme, can explain the observed motion of a real curling stone.

Keywords

Curling Ice friction Asymmetrical friction 

Notes

Acknowledgments

Leif Öhman at the Swedish Curling association and Eugen Veszelei are gratefully acknowledged for valuable discussions.

References

  1. 1.
    Jensen, E.T., Shegelski, M.R.A.: The motion of curling rocks: experimental investigation and semi-phenomenological description. Can. J. Phys. 82, 791–809 (2004)CrossRefGoogle Scholar
  2. 2.
    Penner, R.: The physics of sliding cylinders and curling rocks. Am. J. Phys. 69(3), 332–339 (2001)CrossRefGoogle Scholar
  3. 3.
    Shegelski, M.R.A., Niebergall, R., Walton, M.A.: The motion of a curling rock. Can. J. Phys. 74, 663–670 (1996)CrossRefGoogle Scholar
  4. 4.
    Shegelski, M.R.A., Niebergall, R.: The motion of rapidly rotating curling rocks. Aust. J. Phys. 52, 1025–1038 (1999)Google Scholar
  5. 5.
    Maeno, N.: Curl mechanism for a curling stone on ice pebbles. Bull. Glaciol. Res. 28, 1–6 (2010)CrossRefGoogle Scholar
  6. 6.
    Denny, M.: Curling rock dynamics. Can. J. Phys. 76(4), 295–304 (1998)Google Scholar
  7. 7.
    Denny, M.: Curling rock dynamics: towards a realistic model. Can. J. Phys. 80, 1005–1014 (2002)CrossRefGoogle Scholar
  8. 8.
    Kietzig, A.-M., Hatzikiriakos, S.G., Englezos, P.: Physics of ice and friction. J. Appl. Phys. 107, 081101 (2010)CrossRefGoogle Scholar
  9. 9.
    Shegelski, M.R.A., Reid, M.: Comment on: curling rock dynamics- the motion of a curling rock: inertial vs. noninertial reference frames. Can. J. Phys. 77, 903–922 (1999)CrossRefGoogle Scholar
  10. 10.
    Öhman, L.: Curling ice explained, The World Curling Federation (2004)Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Harald Nyberg
    • 1
    Email author
  • Sture Hogmark
    • 1
  • Staffan Jacobson
    • 1
  1. 1.Ångström Tribomaterials GroupUppsala UniversityUppsalaSweden

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