重力驱动下刚性小球沿台阶运动的动力学

Dynamics of a small hard ball driven by gravity falling down a slope with staircase profile

分析研究小球在台阶形状的斜坡上下落的动力学过程.包括小球从到达台阶边缘、开始脱离台阶作抛体运动和下落到下一台阶上从相对滑动转变为纯滚动等运动过程.得出在竖直方向为完全非弹性碰撞时,下落任意台阶时小球的速度和滚动角速度.

Dynamics of a small ball falling down a slope with staircase profile, which includes the process that the small ball moves from the edge of a stair to the position where it begins to take off and the process that the small ball turns to pure rolling from relative sliding when it reaches the surface of next stair, is analyzed. When the collision in vertical direction is full inelastic collision, the speed and angular velocity of rolling at every step can be calculated.