题目内容
(10分)一位同学玩飞镖游戏,已知飞镖距圆盘为L,且对准圆盘上边缘的A点水平抛出,初速度为v0 ,飞镖抛出的同时,圆盘以垂直盘面且过盘心O点的水平轴匀速转动。若飞镖恰好击中A点,空气阻力忽略不计,重力加速度为g,求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250018069452486.jpg)
(1)飞镖打中A点所需的时间;
(2)圆盘的半径r;
(3)圆盘转动角速度的可能值。
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250018069452486.jpg)
(1)飞镖打中A点所需的时间;
(2)圆盘的半径r;
(3)圆盘转动角速度的可能值。
(1)
;(2)
;(3)![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250018069921212.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001806976515.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001806976691.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250018069921212.png)
试题分析:(1)飞镖水平抛出,在水平方向做匀速直线运动,因此:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001806976515.png)
(2)飞镖击中A点时,A恰好在最下方
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001807023657.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001806976691.png)
(3)飞镖击中A点,则A点转过的角度满足
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250018070541000.png)
故:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250018069921212.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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