力学与实践 ›› 2013, Vol. 35 ›› Issue (1): 67-68.DOI: 10.6052/1000-0879-12-003

• 应用研究 • 上一篇    下一篇

关于铅球最佳出手角的讨论

尤明庆   

  1. 河南理工大学能源科学与工程学院,河南焦作 454010
  • 收稿日期:2012-01-04 出版日期:2013-02-08 发布日期:2013-02-07
  • 通讯作者: 尤明庆

THE OPTIMAL ANGLE FOR THE SHOT-PUT

YOU Mingqing   

  1. School of Energy Science and Engineering, Henan Polytechnic University, Henan, Jiaozuo 454010, China
  • Received:2012-01-04 Online:2013-02-08 Published:2013-02-07

摘要: 利用初等数学确定铅球抛高、抛程和最佳抛角的关系,介绍了曲线簇的包络线和斜坡上的抛体求解;在一般情形下证明了抛体以最佳抛角到达指定距离或高度时沿初始抛掷方向的速度为零.

关键词: 抛体运动|抛角|包络线|初等方法

Abstract: The optimal angle for the shot-put is obtained through elementary mathematics. The envelope of the parabola family is used to determine the parameters for putting shots on a slope. It is shown in the general case that the velocity of the shot in the initial putting-direction is just zero at the given height or distance when it is put in the optimal angle.

Key words: shot-put|cast-angle|envelope|primary mathematics

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