题目内容
如图所示,AO是具有一定质量的均匀细杆,可绕O轴在竖直平面内自由转动.细杆上的P点与放在水平桌面上的圆柱体接触,圆柱体靠在竖直的挡板上而保持平衡.已知杆的倾角
,球的重力大小为G,竖直挡板对球的压力大小为
,各处的摩擦都不计,试回答下列问题:
小题1:通过计算求出圆柱体对均匀细杆AO的作用力的大小和水平地面对圆柱体作用力的大小.![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241143327172443.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332499307.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332530349.gif)
小题1:通过计算求出圆柱体对均匀细杆AO的作用力的大小和水平地面对圆柱体作用力的大小.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241143327172443.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332733402.gif)
已知竖直挡板对球的弹力大小![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332748406.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241143327642525.gif)
根据平衡关系:
,
(
设圆柱体对均匀细杆AO的作用力大小为
,根据牛顿第三
定律知,
=4G( 竖直方向的平衡关系为
将数据代入得,![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332733402.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332748406.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241143327642525.gif)
根据平衡关系:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332780483.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332795416.gif)
设圆柱体对均匀细杆AO的作用力大小为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332858313.gif)
定律知,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332858313.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332873511.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114332733402.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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