论文标题
简单谐波运动的定性分析
A Qualitative Analysis to Simple Harmonic Motion
论文作者
论文摘要
本文为简单的谐波运动提出了定性分析，为在数学上没有充分准备的学生提供了定性分析。它使用速度和加速度的变化来绘制速度时间曲线。曲线似乎是正弦的，其形状在很大程度上取决于速度时间图的梯度是加速度的事实。这种方法无法确定周期的确切值并声称曲线是正弦的，但是，它补充了严格的数学分析，因为它充满了数学方法所缺乏的物理推理。
This paper proposes a qualitative analysis to the simple harmonic motion for students who are not mathematically well-prepared. It uses the variation in speed and acceleration to sketch the velocity-time curve. The curve appears to be sinusoidal, whose shape is largely determined by the fact that the gradient of a velocity-time graph is acceleration. This approach cannot determine the exact value of period and claim the curve to be sinusoidal, however, it complements rigorous mathematical analysis in that it is full of physical reasoning that the mathematical approaches lack of.
