题目内容
在光滑的水平面上有两个电量分别为Q1、Q2的带异种电荷的小球,Q1=4Q2,m2=4m1问要保持两小球距离不变,可以使小球做 运动;两小球的速度大小之比为 。(只受库仑力作用)
匀速圆周;![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754353220.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754353220.gif)
如图所示,两小球可绕它们连线上共同的圆心O作匀速圆周运动。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082411375438416628.jpg)
对m1有:
,
对m2有:
,
两球角速度
相等,
为两球距离可得:
,所以
,又由
可得
。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082411375438416628.jpg)
对m1有:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754399664.gif)
对m2有:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754415673.gif)
两球角速度
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754446201.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754446197.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754477439.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754493374.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754493358.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113754509321.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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