题目内容
一列简谐横波沿一水平直线向右传播,位于此直线上的P、Q两质点相距12米,P在左、Q在右。t=0时,质点P在正的最大位移处,质点Q恰好向上通过平衡位置,而t=0.05秒时,质点Q恰好在负的最大位移处。
(1)若已知周期T>0.05s,波长λ>12m,求这列波的波速的大小;
(2)若已知6T>0.05 s > 5T,求这列波波速的大小。
(1)若已知周期T>0.05s,波长λ>12m,求这列波的波速的大小;
(2)若已知6T>0.05 s > 5T,求这列波波速的大小。
(1)V="720m/s" (2)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024344951.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024344951.png)
(1)根据题意,P、Q之间的距离有:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024406728.png)
t=0时,质点Q恰好向上通过平衡位置,而t=0.05秒时,质点Q恰好在负的最大位移处,则周期满有:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024438789.png)
若周期T>0.05s,波长λ>12m,则可得T=
、
,
这列波的波速为:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241330245941288.png)
(2)若已知6T>0.05 s > 5T,则
中n=5,T=
s,
这列波波速
(n=0,1,2,……)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024406728.png)
t=0时,质点Q恰好向上通过平衡位置,而t=0.05秒时,质点Q恰好在负的最大位移处,则周期满有:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024438789.png)
若周期T>0.05s,波长λ>12m,则可得T=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024469414.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024531599.png)
这列波的波速为:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241330245941288.png)
(2)若已知6T>0.05 s > 5T,则
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024438789.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133024796357.png)
这列波波速
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241330248281393.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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