题目内容
一绳长为L的单摆,在悬点正下方(L-L′)的P处有一个钉子,如图所示,这个摆的周期是( )
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241205148982109.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241205148982109.jpg)
A.T=2π![]() | B.T=2π![]() |
C.T=2π(![]() ![]() | D.T=π(![]() ![]() |
D
整体看这个摆实际上是由两个摆组成,在右边摆动时,悬点为O,摆长为l,在这边只能摆动半个周期,即t1=π
;在左边摆动时,悬点为P,摆长为l′,也是只能摆动半个周期,即t2=π
,因此整个摆的周期为:T=t1+t2=π
+π
=π(
+
),因此正确的选项为D.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120515007300.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120515023306.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120515007300.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120515023306.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120515007300.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120515023306.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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