题目内容
如图所示是某时刻一列横波上A、B两质点的振动图象,该波由A传向B,两质点沿波的传播方向上的距离
,波长大于4.0m,求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241338221575657.jpg)
①再经过0.7s,质点A通过的路程。
②这列波的波速。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822110589.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241338221575657.jpg)
①再经过0.7s,质点A通过的路程。
②这列波的波速。
(1)
(2)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822266907.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822188522.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822220869.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822266907.png)
1由振动图象可知,质点振动周期T=0.4s,振幅A=0.05m,
通过的路程为
。(2分)
2取t=0时刻分析,质点A经平衡位置向上振动,质点B处于波谷,设波长为
则
,所以该波波长为
,因为有
的条件,所以取n=1,1。当n=0时,
,
波速
,
当n=1时,
,
。(2分)
通过的路程为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822313757.png)
2取t=0时刻分析,质点A经平衡位置向上振动,质点B处于波谷,设波长为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822344323.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241338223911023.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822422873.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822469608.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822532647.png)
波速
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822220869.png)
当n=1时,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822672651.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133822266907.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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