Academic Journal
The mathematics and mechanics of tug of war
| العنوان: | The mathematics and mechanics of tug of war |
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| المؤلفون: | Moulton, Derek E, Oliveri, Hadrien |
| المصدر: | Mathematics and Mechanics of Solids ; volume 29, issue 6, page 1254-1270 ; ISSN 1081-2865 1741-3028 |
| بيانات النشر: | SAGE Publications |
| سنة النشر: | 2024 |
| الوصف: | In this paper, we propose a mechanical model for a game of tug of war (rope pulling). We focus on a game opposing two players, modelling each player’s body as a structure composed of straight rods that can be actuated in three different ways to generate a pulling force. We first examine the static problem of two opponents being in a deadlock configuration of mechanical equilibrium; here we show that this situation is essentially governed by the ratio of masses of the players, with the heavier player having a strong advantage. We then turn to the dynamic problem and model the response of the system to an abrupt change in activation by one of the players. In this case, the system exhibits a nontrivial response; in particular, we compare a sudden pulling and a sudden “letting up,” and demonstrate the existence of regimes in which the lighter player can momentarily take the advantage. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.1177/10812865231203154 |
| الاتاحة: | https://doi.org/10.1177/10812865231203154 https://journals.sagepub.com/doi/pdf/10.1177/10812865231203154 https://journals.sagepub.com/doi/full-xml/10.1177/10812865231203154 |
| Rights: | https://creativecommons.org/licenses/by/4.0/ |
| رقم الانضمام: | edsbas.EE352B26 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1177/10812865231203154 |
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