2009/11/30 by John D. Barrow · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Artificial Intelligence in Games #Crew #Moment (physics) #Optimization and Search Problems #Port (circuit theory) #Property (philosophy) #Rowing #Sports Dynamics and Biomechanics #Transverse plane #gr-qc #physics.class-ph #physics.pop-ph
paper · pdf · doi:10.1119/1.3318808
published as Am.J.Phys.78:728-732,2010 · 11 pages, 7 figures, additional notes and refs
openalex publication_date 2010/06/11 · arxiv created 2010/08/16 · arxiv updated 2011/04/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 (known) zero-moment rig for a racing Four and show that there are four possible such rigs for a racing Eight, of which only two are known. We show that only balanced boats with crew numbers that are divisible by four can have the zero-moment property and give the 29 zero-moment solutions for racing Twelves, which have zero transverse moments. Some aspects of unbalanced boats in which the numbers of port and starboard oars are unequal are also discussed.