用方位径向摆演示李萨如图形的研究

Research on the Lissajous figures using azimuthal-radial pendulum

通过对方位径向摆的弹性杆和摆球的固有振动频率进行分析,利用相机曝光方法研究了摆球李萨如图形.分析了摆线长度、初始释放角度、摆球质量等因素对摆球运行轨迹的影响,理论和实验符合较好.

By analyzing the elastic rod of radial pendulum and the natural vibration frequency of the azimuthal-radial pendulum,the pendulum Lissajous figure is studied by using the method of camera exposure.We analyze the effects of some parameters including the length of the cycloid,the initial release angle and the quality of the pendulum on the trajectory of the pendulum.It is found that the experimental results consistent well with the theoretical predictions.