Physics of martial arts: Incorporation of angular momentum to model body motion and strikes.
We develop a physics-based kinematic model of martial arts movements incorporating rotation and angular momentum, extending prior analyses. Here, our approach is designed for a classroom environment; we begin with a warm-up exercise introducing counter-intuitive aspects of rotational motion before p...
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Public Library of Science (PLoS)
2021
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oai:doaj.org-article:9fac5b7fd9bf486eb9ad150ec88f46202021-12-02T20:15:06ZPhysics of martial arts: Incorporation of angular momentum to model body motion and strikes.1932-620310.1371/journal.pone.0255670https://doaj.org/article/9fac5b7fd9bf486eb9ad150ec88f46202021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0255670https://doaj.org/toc/1932-6203We develop a physics-based kinematic model of martial arts movements incorporating rotation and angular momentum, extending prior analyses. Here, our approach is designed for a classroom environment; we begin with a warm-up exercise introducing counter-intuitive aspects of rotational motion before proceeding to a set of model collision problems that are applied to martial arts movements. Finally, we develop a deformable solid-body mechanics model of a martial arts practitioner suitable for an intermediate mechanics course. We provide evidence for our improved model based on calculations from biomechanical data obtained from prior reports as well as time-lapse images of several different kicks. In addition to incorporating angular motion, our model explicitly makes reference to friction between foot and ground as an action-reaction pair, showing that this interaction provides the motive force/torque for nearly all martial arts movements. Moment-of-inertia tensors are developed to describe kicking movements and show that kicks aimed high, towards the head, transfer more momentum to the target than kicks aimed lower, e.g. towards the body.Alexis MerkAndrew ResnickPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 8, p e0255670 (2021) |
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Medicine R Science Q Alexis Merk Andrew Resnick Physics of martial arts: Incorporation of angular momentum to model body motion and strikes. |
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We develop a physics-based kinematic model of martial arts movements incorporating rotation and angular momentum, extending prior analyses. Here, our approach is designed for a classroom environment; we begin with a warm-up exercise introducing counter-intuitive aspects of rotational motion before proceeding to a set of model collision problems that are applied to martial arts movements. Finally, we develop a deformable solid-body mechanics model of a martial arts practitioner suitable for an intermediate mechanics course. We provide evidence for our improved model based on calculations from biomechanical data obtained from prior reports as well as time-lapse images of several different kicks. In addition to incorporating angular motion, our model explicitly makes reference to friction between foot and ground as an action-reaction pair, showing that this interaction provides the motive force/torque for nearly all martial arts movements. Moment-of-inertia tensors are developed to describe kicking movements and show that kicks aimed high, towards the head, transfer more momentum to the target than kicks aimed lower, e.g. towards the body. |
format |
article |
author |
Alexis Merk Andrew Resnick |
author_facet |
Alexis Merk Andrew Resnick |
author_sort |
Alexis Merk |
title |
Physics of martial arts: Incorporation of angular momentum to model body motion and strikes. |
title_short |
Physics of martial arts: Incorporation of angular momentum to model body motion and strikes. |
title_full |
Physics of martial arts: Incorporation of angular momentum to model body motion and strikes. |
title_fullStr |
Physics of martial arts: Incorporation of angular momentum to model body motion and strikes. |
title_full_unstemmed |
Physics of martial arts: Incorporation of angular momentum to model body motion and strikes. |
title_sort |
physics of martial arts: incorporation of angular momentum to model body motion and strikes. |
publisher |
Public Library of Science (PLoS) |
publishDate |
2021 |
url |
https://doaj.org/article/9fac5b7fd9bf486eb9ad150ec88f4620 |
work_keys_str_mv |
AT alexismerk physicsofmartialartsincorporationofangularmomentumtomodelbodymotionandstrikes AT andrewresnick physicsofmartialartsincorporationofangularmomentumtomodelbodymotionandstrikes |
_version_ |
1718374598090686464 |