Rowing and the same-sum problem have their moments

  title={Rowing and the same-sum problem have their moments},
  author={J. Barrow},
  journal={American Journal of Physics},
  • J. Barrow
  • Published 2010
  • Physics
  • American Journal of Physics
We consider the optimal positioning of an even number of identical crew members in a coxless racing boat so as to avoid the presence of a sideways wiggle as the boat is propelled forward through the water. We show that the traditional (alternate port and starboard) positioning always possesses an oscillating nonzero transverse moment and associated wiggling motion and that the problem of finding the zero-moment positions is related to a special case of the subset sum problem. We find the one… Expand

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