题目内容
在O点有一波源,t=0时刻开始向+y方向振动,形成沿x轴正方向传播的一列简谐横波。距离O点为x1=3m的质点A的振动图象如图甲所示;距离O点为x2=4m的质点B的振动图象如图乙所示。求:(1)该波的周期(2)该波的波速 ![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241359087094135.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241359087094135.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135908896756.png)
设该波的周期为T, 该波的波速为v
波从波源开始振动, 传播到A点用时
,传播到B点用时![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135909021554.png)
由图甲可知
,由图乙可知![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135909161752.png)
解得![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135908896756.png)
通过两图像可看出两个时刻位移相等,速度方向相反,由机械振动的对称性可求出周期
波从波源开始振动, 传播到A点用时
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135908989514.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135909021554.png)
由图甲可知
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135909083672.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135909161752.png)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135908896756.png)
通过两图像可看出两个时刻位移相等,速度方向相反,由机械振动的对称性可求出周期
![](http://thumb2018.1010pic.com/images/loading.gif)
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