摘要
本文考虑了投篮运动中空气浮力、空气阻力和马格努斯力对篮球的作用,建立了投篮过程中篮球运动的动力学模型,计算了前旋、后旋等多种情况下的篮球运动轨迹方程,借助Matlab软件对篮球的运动轨迹进行求解与绘图,结合图像分别讨论了空气阻力、马格努斯力、角速度、抛射角等因素对篮球射高、射程和轨迹的影响。在理论分析的基础上,借助Tracker软件进行实验以获取真实投篮过程中篮球的运动轨迹与相关参量,说明理论分析与实验数据符合得较好。
In this paper,the effects of air buoyancy,air resistance and Magnus force on the basketball in the shooting movement are considered,the dynamics model of basketball motion is established,and the trajectory equation of the basketball movement under various circumstances such as forward spin and back spin are calculated.The trajectory of the basketball is solved and drawn by Matlab software and the influence of air resistance,Magnus force,angular velocity and projection angle on the shooting height,range and trajectory of basketball are discussed.On the basis of theoretical analysis,the software Tracker is used to conduct experiments to obtain the trajectory of basketball movement and related parameters in the real shooting process,which indicates that the theoretical analysis is in good agreement with the experimental data.
作者
项姿睿
桑芝芳
XIANG Zirui;SANG Zhifang(School of Physical Science and Technology,Soochow University,Suzhou,Jiangsu 215006)
出处
《物理与工程》
2023年第6期80-84,共5页
Physics and Engineering
基金
江苏省教育科学“十四五”规划2021年度课题“基于师范专业认证的教育类实践课程表现性评价研究”(B/2021/01/39)。
关键词
轨迹方程
空气阻力
马格努斯力
角速度
抛射角
trajectory equation
air resistance
Magnus force
angular velocity
projection angle
