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在一些书刊上,可以看到如下的一类问题 1.如图1所示,质量分别为M和m的物体用质量不计的细绳通过定滑轮连接。M放在倾角为θ=37°固定光滑斜面上,m放在光滑的竖直杆上,M、m之比为25:9。定滑轮到竖直杆的距离为4米。求m下滑过程中的最大速度(斜面,竖直杆均足够长取g=10米/秒~2) 题后给出的答案提示为:M、m受力平衡时,m有最大速度,v_m=3.65米/秒。
In some publications, one can see the following types of problems: 1. As shown in Fig. 1, objects with masses M and m are connected by fixed pulleys with strings of uncalibrated mass. M is placed on a fixed smooth slope with an inclination of θ=37° and m is placed on a smooth vertical shaft. The ratio of M and m is 25:9. The distance from the pulley to the vertical rod is 4 meters. The maximum speed in the process of seeking m sliding (slope, vertical bars are long enough to take g = 10 m / s ~ 2) The answer given after the question is: M, m force balance, m has the maximum speed, v_m = 3.65 meters/second.