题目内容
如图所示,水平粗糙轨道AB与半圆形光滑的竖直圆轨道BC相连,B点与C点的连线沿竖直方向,AB段长为L,圆轨道的半径为R.一个小滑块以初速度v0从A点开始沿轨道滑动,已知它运动到C点时对轨道的压力大小恰好等于其重力.求滑块与水平轨道间的动摩擦因素μ。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241253151002640.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241253151002640.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125315116626.gif)
由牛顿第三定律可得,物块在C点时受到轨道的弹力大小也等于重力大小
在C点,由牛顿第二定律得
由B 到C过程中,由机械能守恒定律得![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082412531516273.gif)
由A到B过程中,由动能定理得
解得![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125315116626.gif)
在C点,由牛顿第二定律得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125315147625.gif)
由B 到C过程中,由机械能守恒定律得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082412531516273.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125315194780.gif)
由A到B过程中,由动能定理得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125315225764.gif)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125315116626.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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