题目内容
如图所示,光滑水平面上,一个小球以初速度v向右匀速运动,右侧有一个线长为l的单摆在垂直纸面方向上做小角度振动。摆球的半径为r(不可忽略),其下端在最低点O处恰好与水平面接触,当小球在A点时,摆球恰好处于距离平衡位置最大位移处。若小球与摆球在O点处相撞,小球的体积可忽略,当地重力加速度为g,求:
(1)单摆振动的周期;(2分)
(2)AO间的距离。(4分)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241805181596431.jpg)
(1)单摆振动的周期;(2分)
(2)AO间的距离。(4分)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241805181596431.jpg)
(1)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241805184871467.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241805181911061.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241805184871467.png)
试题分析:(1)根据单摆周期公式可得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241805187371356.png)
(2)根据题意可得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180518939779.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180519173751.png)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241805184871467.png)
点评:关键是知道小角度振动时可看做单摆
![](http://thumb2018.1010pic.com/images/loading.gif)
练习册系列答案
相关题目