题目内容
如图所示,在匀速转动的圆盘上,沿半径方向放置以细线相连的质量均为m的A、B两个小物块,A离轴心
=20cm,B离轴心
=30cm,A、B与盘面间相互作用的最大静摩擦力为其重力的0.4倍.求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115636775807.gif)
(1)当细线上出现张力时,圆盘转动的角速度
=?
(2)欲使A、B与盘面间不发生相对滑动,则盘转动的最大角速度多大?(g=10m/
)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115636759932.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115636759938.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115636775807.gif)
(1)当细线上出现张力时,圆盘转动的角速度
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115636790953.gif)
(2)欲使A、B与盘面间不发生相对滑动,则盘转动的最大角速度多大?(g=10m/
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115636821936.gif)
(1)
(2)4 rad/s.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115636821603.gif)
(1)当B的向心力等于最大静摩擦力时以后,绳上出现张力,即:
0.4mg=
,
∴
.
(2)当A、B受静摩擦力均达最大值时盘的角速度ω最大,设绳中张力为T,则:
,
解得
="4" rad/s.
0.4mg=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241156368371019.gif)
∴
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241156368531376.gif)
(2)当A、B受静摩擦力均达最大值时盘的角速度ω最大,设绳中张力为T,则:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241156368681346.gif)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115636884930.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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