题目内容
如图所示为一简谐横波在t1=1.5s时的波形,O为波源,此时波刚好传到x=60cm处,①指出该时刻x=10cm处的质点A运动的速度方向和加速度方向;②再经过多少时间x=2.8m处的质点B第一次到波谷?③从t=0开始至质点B第一次到波谷这段时间内,波源O通过的路程是多少?
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241402544414730.jpg)
①沿y轴负向②6s③![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140254457789.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140254457789.png)
解①质点A点速度沿y轴正向,加速度沿y轴负向。
②设波的周期为
,
,得
,波长
,波速![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140255065881.png)
再经时间
,波谷从x=0.4m处传到x=2.8m处,
,此时B点第一次到波谷。
③振幅
,当B点第一次到波谷时,
,
,波源O点通过的路程为![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140254457789.png)
②设波的周期为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140254535304.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140254628583.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140254893446.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140254987603.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140255065881.png)
再经时间
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140255159329.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241402552831087.png)
③振幅
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140255361565.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140255424636.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140255502574.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140254457789.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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