“绳连三球”系统运动的轨迹方程和周期的研究

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

对于光滑水平面上由"绳连三球"构成的系统,利用参数方程分别对其运动轨迹和周期进行了研究,发现子球运动轨迹与绳子的长度和质量比有关,系统运动的周期与绳子的长度、质量比及初速度有关,利用软件模拟出子球运动轨迹、速度相图和速度时间图象.

For a system composed of one rope with three bails on a sooth horizontal plane, its trajectory and cycle are studied by using parametric equations.It is indicated that the bali＇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 bali＇s trajectory, the phase diagram of speed and velocity graph are simulated by using software.