题目内容
如图所示,圆锥摆的摆长l=50厘米,摆角a=37°.试求:
(1)小球的线速度v;
(2)如小球在运动中,细绳突然断开,小球将落向地面,已知悬点O离地面的高为1.2m,则小球落地点到悬点O的水平距离多大?![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241322449709674.png)
(1)小球的线速度v;
(2)如小球在运动中,细绳突然断开,小球将落向地面,已知悬点O离地面的高为1.2m,则小球落地点到悬点O的水平距离多大?
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241322449709674.png)
(1)1.5m/s;(2)0.67m
(1)小球所受重力、绳子的拉力的合力提供向心力,
,计算可得小球的线速度为1.5m/s
(2)小球距地面高度
,计算得t=0.4s,水平位移
,小球运动半径
,小球落地点到悬点O的水平距离![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241322451571019.png)
故答案为:(1)1.5m/s;(2)0.67m
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132245001901.png)
(2)小球距地面高度
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241322450321624.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132245079875.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132245110921.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241322451571019.png)
故答案为:(1)1.5m/s;(2)0.67m
![](http://thumb2018.1010pic.com/images/loading.gif)
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