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文[1]有如下问题:如图1所示,一根绳子穿过两个定滑轮,且两端分别挂有3N,2N的重物,现在两个滑轮之间的绳上挂一个重量为mN的重物,恰好使得系统处于平衡状态,求正数m的取值范围.文[2]给出如下的解法1:如图2所示,系统受力的水平分量和与竖直分量和都为零,得又因β为锐角,得到1cos
Text [1] has the following problems: As shown in Figure 1, a rope passes through two fixed pulleys, and the two ends are respectively hung with 3N, 2N weights, and now a weight is hung on the rope between the two pulleys. The weight of mN just makes the system in equilibrium and find the range of the positive number m. The following solution 1 is given in [2]: As shown in Figure 2, the horizontal component and the vertical component of the force Both are zero, and because of β is an acute angle, get 1cos