单摆中摆线拉力随时间的变化规律探究——由教材课后习题插图所引发的思考

Exploration on the Variation Law of the Cycloidal Tension in a Single Pendulum over Time——Reflection Triggered by Illustrations of Exercises in Textbooks after Class

通过理论和实验两种手段,对单摆中摆线拉力随时间变化的规律进行探究,发现F(t)在摆线拉力最小处可导,教材插图与此结果矛盾.提供了一种计算单摆中F-t关系的方法,并通过实验证明了其合理性.

This paper explored the law of the variation of the cycloidal tension in a single pendulum over time with theoretical and experimental methods.It is found that F(t)is differentiable at the point where the cycloidal tension is minimum.The textbook illustrations contradict this result.This paper provided a method for calculating the F-t relationship in a single pendulum and proved its rationality through experiments.