题目内容
在图中,三根等长的绳l1、l2、l3共同系住一密度均匀的小球m,小球直径为d,l2、l3与天花板的夹角为α.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241205142272103.jpg)
(1)若摆球在垂直纸面的方向上做小角度摆动,其周期为多少?
(2)若摆球在纸面内小角度左右摆动,其周期为多大?
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241205142272103.jpg)
(1)若摆球在垂直纸面的方向上做小角度摆动,其周期为多少?
(2)若摆球在纸面内小角度左右摆动,其周期为多大?
(1)T1=2π![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514243775.gif)
(2)T2=2π![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514259573.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514243775.gif)
(2)T2=2π
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514259573.gif)
第一次摆长为O点到小球球心的距离.摆长l=l1+l2sinα+
,则T1=2π![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514243775.gif)
第二次摆长为O′点到小球球心的距离.摆长l′=l1+
,则T2=2π
.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514274240.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514243775.gif)
第二次摆长为O′点到小球球心的距离.摆长l′=l1+
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514274240.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824120514259573.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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