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有关杠杆平衡的分析是初中力学常见题型之一,如果原来杠杆平衡,当条件改变后,需要重新分析杠杆的平衡情况,方法有多种,这里介绍一种用相对改变量快速分析此类问题的方法.此方法不受杠杆是否等臂和两端所挂物质的质量、体积是否相等的影响,计算简单、分析速度快,学生容易掌握.尤其是杠杆两边挂有不同物体保持平衡,再把物体同时浸没在不同液体中或同时从不同液体中提出来的平衡情况分析,用此方法甚是快捷.下面分两种情况研究.
The analysis of leverage balance is one of the common questions in junior high school mechanics. If the original leverage is balanced, when the conditions change, the balance of the leverage needs to be re-analyzed. There are various methods. Here is a quick analysis of such issues with relative changes. The method is not affected by whether the lever is equal to the mass and volume of the material hung on the arm and the two ends. The calculation is simple and the analysis speed is fast. The students can easily grasp. Especially, there are different objects on both sides of the lever to maintain balance, and then The analysis of the balance of objects immersed in different liquids simultaneously or from different liquids at the same time is very quick with this method. The following two cases are studied.