Research on the trajectory equation and the cycle of the system of one rope with three balls

doi:10. 16854 /j. cnki. 1000-0712. 2017. 10. 008

College Physics ›› 2017, Vol. 36 ›› Issue (10): 24-28.doi: 10. 16854 /j. cnki. 1000-0712. 2017. 10. 008

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Research on the trajectory equation and the cycle of the system of one rope with three balls

LANG Jun，JIANG Fu-jin

1. Chongqing NO. 11 Middle School，Chongqing 400061，China; 2. Wuhan Huangpi NO. 1 Middle School，Wuhan，Hubei 430300，China

Online:2017-10-20 Published:2017-10-20

Abstract

Abstract: For a system composed of one rope with three balls on a sooth horizontal plane，its trajectory and cycle are studied by using parametric equations. It is indicated that the ball's trajectory is related to the length of the　rope and the ratio of mass，as well as the cycle of the system is connected with the length of the rope，mass ratio，and initial speed. The ball's trajectory， the phase diagram of speed and velocity graph are simulated by using software.

Key words: one rope with three balls, trajectory, cycle, elliptic integral of the second kind

LANG Jun，JIANG Fu-jin . Research on the trajectory equation and the cycle of the system of one rope with three balls[J].College Physics, 2017, 36(10): 24-28.

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Research on the trajectory equation and the cycle of the system of one rope with three balls

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