Mikrajuddin Abdullah
Pusat Fisika Interdisipliner, Program Studi Fisika, Institut Teknologi Bandung, Jl. Ganesa 10 Bandung 40132

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Physics Model for Rope Jumping Game Fathan Akbar; Ardi Khalifah; Mikrajuddin Abdullah
Jurnal Penelitian Pendidikan IPA Vol. 7 No. 2 (2021): April
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v7i2.559

Abstract

We developed a simple physics model to explain the profile of the rope played in the rope jumping game.  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 phenomenon