Physics Model for Rope Jumping Game
DOI:
10.29303/jppipa.v7i2.559Published:
2021-04-22Downloads
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Abstract
We developed a simple physics model to explain the profile of the rope played in the rope jumping game. Â Firstly, we derived a second order non-linear differential equation to explain the rope motion. Analytical solutions can be obtained if the displacement of all points along the rope is small. For arbitrary deviations, a numerical solution must be employed, and at the present paper, we used a simple excel-visual basic program. We found that the profiles of the simulation results is very similar to the real profile which can be observed in a number of sources on the internet. A critical value separating the condition where the rope length remains unchange and the condition when the rope changes suddenly with rw2/T was identified. A scaling relationship was also identified in the changing region with the critical exponent of -0.31. The existence of the critical point and the critical exponent in the changing region informs that the change in the rope profile resembles the phase transition phenomenonKeywords:
Rope jumping visual basic critical point scale factor phase transitionReferences
Abdullah, M. (2017). Fisika Dasar II. tidak dipublikasikan. [Indonesian]
Abdullah, M. (2020). Diambil dari profmikra.org. [Indonesian]
Abdullah, M., Khairunnisa, S., & Akbar, F. (2014). Bending of sparklers. European Journal of Physics, 35, 035019. Doi: https://doi.org/10.1088/0143-0807/35/3/035019
Akbar, F. & Abdullah, M. (2020). A sarong rolled around a body demonstrates the force for separating two sheets joined by folding and rolling is very large. Physics Education, 55, 065020. Doi: https://doi.org/10.1088/1361-6552/abae24
Aristoff, J.M. & H. A. Stone, H.A. (2012). The aerodynamics of jumping rope. Proceedings of the Royal Society A, 468, 720–730. doi: https://doi.org/10.1098/rspa.2011.0389
Azka, S. (2019). Seru mainan anak tradisional lompat tali - tarik tambang dan engklek - jump rope for kids. Retrieved from: https://www.youtube.com/watch?v=HCNzuzSdPFo&t=171s. [Indonesian]
Channel, MG. (2019). Masih ingat ?? 9 Permainan jaman dulu yang terlupaka. Retrieved from: https://www.youtube.com/watch?v=I8_yMhwELKw. [Indonesian]
Ferréol, R. (2017). Skipping Rope Curve. Retrieved from: https://mathcurve.com/courbes2d.gb/cordeasauter/cordeasauter.shtml.
Homerie (2018). Yuk, belajar lompat tali. Retrieved from: https://www.youtube.com/watch?v=WliPjgOlnF0. [Indonesian]
Jeenall, M. (2018). Lompat tali - permainan tradisional. Retrieved from: https://www.youtube.com/watch?v=eUF3woqI7oQ&t=165s. [Indonesian]
Kompas.com (2008). Kabel SUTET Putus, 4 Tewas. Retrieved from: https://tekno.kompas.com/read/2008/02/09/19405840/kabel.sutet.putus.4.tewas. [Indonesian]
Margaretta, D.O., Amalia, N., Utami, F.D., Viridi, S., & Abdullah, M. (2019). Second-order phase transition and universality of self-buckled elastic slender columns. Journal of Taibah University for Science, 13, 1128-1136. doi: https://doi.org/10.1080/16583655.2019.1688542
Munir, R., Rahmayanti, H.D., Murniati, R., Rahman, D.Y., Utami, F.D., Viridi, S., & Abdullah, M. (2020). Experiment and modeling of the rice winnowing process: granular segregation method from an ancient era. Granular Matter, 22(1), 24. doi: https://doi.org/10.1007/s10035-019-0991-6
Rahmayanti, H.D., Munir, R., Sustini, E., & Abdullah, M. (2019). Curling evolution of suspended threads replicates 2D self-avoiding walk phenomena and 1D crystallization process. Journal of Statistical Mechanics: Theory and Experiment, 2019. 013401. doi: https://doi.org/10.1088/1742-5468/aaf322
Rahmayanti, H.D., F.D. Utami, F.D., & dan M. Abdullah, M. (2016). Physics model for wringing of wet cloth. European Journal of Physics, 37, 065806. doi: https://doi.org/10.1088/0143-0807/37/6/065806
Sinebar, W. & Abdullah, M. (2018). Experiment in an aircraft cabin. The Physics Teacher, 56, 556. Doi: https://doi.org/10.1119/1.5064573.
Susanto, R. (2018). Cara mudah belajar lompat tali/skipping/jumping rope. https://www.youtube.com/watch?v=DzhUza6eBoc&t=87s. [Indonesian]
Tribunnews.com (2012). Kabel SUTET Menimpa Rumah Warga. Retrieved from https://www.tribunnews.com/regional/2012/03/21/kabel-sutet-menimpa-rumah-warga. [Indonesian]
Tube, C. (2019). Jom main tali skipping. Retrieved from: https://www.youtube.com/watch?v=dBody-5d1HU. [Indonesian]
Wolframalpha.com (2020).
Yuliza, E., Amalia, N., Rahmayanti, H.D., Munir, R., Munir, M.M, Khairurrijal, K., & Abdullah, M. (2018). Stability of granular tunnel. Granular Matter, 20, 75. doi:https://doi.org/10.1007/s10035-018-0847-5
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