球壳质心位置的另一种解法——兼谈研究性教学的元素选择

ANOTHER SOLUTION TO THE POSITION OF THE SPHERICAL SHELL'S CENTER OF MASS—CONCURRENTLY DISCUSSING THE CHOICE OF ELEMENTS OF RESEARCH TEACHING

大学物理教材上,有一道半球壳质心位置计算题,是质心教学的典型例题。教材以最方便和直接的方式,展示了质量元选取的最佳方案。本文换一种思路来解答相同问题,给出了一个虽显复杂,但更具训练价值的解法,它对空间想象能力和数学处理能力都有着较高要求,不失为一种思维训练的好方法。

In the textbook of college physics,there is a question of calculating the position of the center of mass of the hemisphere shell,which is a typical example of the teaching of the center of mass.In the most convenient and direct way,the textbook shows the best solution for selecting quality elements.This article uses a different way of thinking to answer the same question,and gives a solution that is more complex but more valuable in training.It has higher requirements for spatial imagination and mathematical processing ability,which is a good way of thinking training.