题目内容
两个摆长不同(l1<l2)、质量不同(m1<m2)的单摆静止于平衡位置,使两个摆球分别以相同的水平初速度在竖直平面内做小角度摆动,它们的频率与振幅分别为f1、f2和A1、A2,则
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
D
根据单摆周期公式:
,又因为l1<l2所以
,![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130813599492.png)
振幅可近似等于摆球偏离最低点的水平距离,根据机械能守恒:
,所以
高度相同,水平距离为:
,l1<l2所以
D正确。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130813755737.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130813818471.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130813599492.png)
振幅可近似等于摆球偏离最低点的水平距离,根据机械能守恒:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130813896796.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130813911650.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130813958927.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130813459492.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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