论文标题
站立垂直跳跃的简单模型
Simple Model of a Standing Vertical Jump
论文作者
论文摘要
在本文中，我们使用牛顿的第三定律推断出可以执行立式垂直跳跃的对象的最简单模型 - 一个两分段的对象，具有初始的恒定排斥力，然后是突然的吸引力。将这种物体放在坚固的地面上时会跳跃，并且可以仅使用恒定加速度方程来计算运动，从而使该示例适合基于代数的物理。然后，我们继续求解N分段对象的运动，并确定跳跃的最佳段数。然后，我们从跳跃机器人和跳跃人类中讨论了这个简单模型的一些相似之处和差异，然后通过争论该模型的教学优点来得出结论。
In this paper we use Newton's 3rd law to deduce the simplest model of an object that can perform a standing vertical jump -- a two-segmented object with an initial constant repulsive force between the segments, followed by an abrupt attractive force. Such an object, when placed on a sturdy ground, will jump, and the motion can be calculated using only the constant acceleration equations, making the example suitable for algebra-based physics. We then proceed to solve for the motion of an n-segmented object, and determine the optimal number of segments for jumping. We then discuss a few similarities and differences of this simple model from jumping robots and jumping humans, and then conclude by arguing the model's pedagogical merits.
