Abstract

The mechanical equilibrium of a rope wrapped around a solid body or around another rope is investigated, with friction and tension being taken into account. Various examples are treated to illustrate the theory. Its application to knots and hitches is indicated.

MSC codes

  1. 73.34
  2. 73.49
  3. 34A40
  4. 34H05

Keywords

  1. ropes
  2. knots
  3. hitches
  4. friction

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References

1.
A. S. Ramsey, Statics, Cambridge University Press, London, 1941
2.
B. F. Bayman, Theory of hitches, Amer. J. Phys., 45 (1977), 185–190
3.
J. Walker, The amateur scientist, Scientific American, 249 (1983), 120–127

Information & Authors

Information

Published In

cover image SIAM Journal on Applied Mathematics
SIAM Journal on Applied Mathematics
Pages: 1185 - 1200
ISSN (online): 1095-712X

History

Submitted: 2 October 1985
Accepted: 1 November 1986
Published online: 1 August 2006

MSC codes

  1. 73.34
  2. 73.49
  3. 34A40
  4. 34H05

Keywords

  1. ropes
  2. knots
  3. hitches
  4. friction

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