用分析力学方法研究质点在自由凹曲面上的下滑运动

Using the Analytical Mechanics Method to Study the Particle's Sliding down on a Horizontally Free Cancave Surface

用分析力学中的拉格朗日方程求解质点从可自由移动的凹曲面上下滑时的速度、加速度和时间,并举例加以应用,体现了用分析力学方法求解复杂问题的优越性.

The velocity, acceleration and time of the particle＇s sliding down on a horizontally free cancave surface are discussed by use of Lagrange equation, then the examples are given and applied. The method embodies the superiority of sloving the complex problems by use of analytical mechanics method.