题目内容
分如图所示,在水平面内做匀速圆周运动的圆锥摆,O为悬点,O'为O在水平地面上的投影,已知绳长为a,绳与竖直方向夹角为θ=60°,OO'间距离为
,某时刻绳被剪断,小球将落到P 点,求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250000414784048.png)
(1)小球做圆周运动的速度v;
(2)P到O'的距离l。
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000041431468.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250000414784048.png)
(1)小球做圆周运动的速度v;
(2)P到O'的距离l。
(1)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000041509562.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000041494622.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000041509562.png)
试题分析:(1)小球所受合力提供向心力:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250000415251053.png)
解得小球做圆周运动的线速度为:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250000415561172.png)
(2)小球做平抛运动的位移:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250000415721303.png)
由几何关系有:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000041603881.png)
代入数值解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000041618659.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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