题目内容
(10分)如图10所示,半径为R的四分之一圆弧形支架竖直放置,圆弧边缘C处有一小定滑轮,绳子不可伸长,不计一切摩擦,开始时,m1、m2两球静止,且m1>m2,试求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005181292668.jpg)
(1)m1释放后沿圆弧滑至最低点A时的速度.
(2)为使m1能到达A点,m1与m2之间必须满足什么关系.
(3)若A点离地高度为2R,m1滑到A点时绳子突然断开,则m1落地点离A点的水平距离是多少?
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005181292668.jpg)
(1)m1释放后沿圆弧滑至最低点A时的速度.
(2)为使m1能到达A点,m1与m2之间必须满足什么关系.
(3)若A点离地高度为2R,m1滑到A点时绳子突然断开,则m1落地点离A点的水平距离是多少?
(1)
,(2)
,(3)![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005183321278.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005181761298.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518191606.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005183321278.png)
试题分析:(1)设
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518347362.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518363298.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518379330.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005183941224.png)
又
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518410689.png)
得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005181761298.png)
(2)要使
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518347362.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518472435.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518535452.png)
必有:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518550849.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518191606.png)
(3)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518347362.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518644676.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000518659459.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005183321278.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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