On the mechanics of the arrow: Archer's Paradox

@article{Kooi1997OnTM,
  title={On the mechanics of the arrow: Archer's Paradox},
  author={Bob W. Kooi and Johan Adolf Sparenberg},
  journal={Journal of Engineering Mathematics},
  year={1997},
  volume={31},
  pages={285-303}
}
In ancient bows the grip of the bow was in the way of the arrow. The arrow needed to get round the bow while being accelerated; this phenomenon is called the ‘Archer's Paradox’. In the forties it was observed experimentally with high-speed cameras that the arrow vibrates in a horizontal plane perpendicular to the vertical median plane of the bow. These movements are started and controlled by the movements of the two points of contact with the bow, viz. the middle of the string in contact with… 
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35 Citations
Highly Influential Citations
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Methods Citations
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35 Citations

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In this paper I review physical and mathematical models dealing with the interaction between the bow and the arrow, especially the ‘Archer’s Paradox’ that is, how the arrow can follow a straight path…
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It is shown that by suitable selection of the arrow’s location on the string, the archer can obtain zero angular velocity and minimal angle of attack.
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The method used by Kooi and Sparenberg to remove subjective components has been extended to include the carbon fibre composite arrows now used almost exclusively in competition and to consider the arrow after it has left the bow.
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    Journal of sports sciences
  • 1998
TLDR
A full description of the model of the flight of the arrow during its discharge from a bow is given and it is predicted that the arrow leaves the pressure button before it leaves the string, as reported previously.
The Behaviour of An Arrow Shot from a Compound Archery Bow
The behaviour of an arrow exiting an archery bow is of interest in relation to equipment selection and optimization, as well as to the performance of the arrow down-range. In particular, it is a…
Compound-archery-bow nocking-point locus in the vertical plane
In general, the path taken by the nocking point of an archery bow in the vertical plane is not a straight line perpendicular to the rest position of the string; it may vary significantly from that.…
Design and Materials in Archery
  • B. Kooi
  • Materials Science
    Materials in Sports Equipment
  • 2019
ARCHER-BOW-ARROW SYSTEM ADJUSTMENT IN THE VERTICAL PLANE
A significant part of bow tuning is vertical adjustment that strives for a zero angle of attack of the arrow. This requires laborious procedures through a lengthy and tedious trial and error phase. A…
High-speed video analysis of arrow behaviour during the power stroke of a recurve archery bow
The manner in which an archer holds and releases the string of a recurve bow causes the arrow to flex during the bow’s power stroke and on its way from the bow to the target. While an experienced…
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