简单静力平衡问题中基于能量守恒的小振荡
Small Oscillations via Conservation of Energy in a Simple Static Equilibrium Problem
摘要:
这项工作描述了一个标准的静力平衡实验室问题的模拟为基础的小振荡分析。除了力的分析,势能函数的系统开发,并通过绘制出数学上的相似性,简单的谐振子,我们能够描述(和验证)的周期小振荡的静力平衡状态。这个问题是在威诺纳州立大学的标准大学物理课程中开发和实施的。
英文摘要:
The work describes an analogy-based small oscillations analysis of a standard static equilibrium lab problem. In addition to force analysis, a potential energy function for the system is developed, and by drawing out mathematical similarities to the simple harmonic oscillator, we are able to describe (and verify) the period of small oscillations about the static equilibrium state. The problem was developed and implemented in a standard University Physics course at Winona State University.
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