题目内容
压延机由两轮构成,两轮直径各为d=50 cm,轮间的间隙为a=0.5 cm,两轮按反方向转动,如图1-48(原图1-51)上箭头所示.已知烧红的铁板与铸铁轮之间的摩擦系数μ=0.1.问能压延的铁板厚度是多少?
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241144112023448.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241144112023448.gif)
铁板厚度为0.5cm≤b≤0.75cm
以铁板为研究对象,铁板受到铸铁轮的作用力如图1- 49 所示。压延机要正常工作,则铁板所受的作用力的合力须向右,即
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241144112344165.gif)
,
而
,
所以
,
。
由几何关系可得
,代入数据可得能压延的铁板厚度为0.5cm≤b≤0.75cm。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241144112344165.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114411234670.gif)
而
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114411249437.gif)
所以
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114411265423.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114411296663.gif)
由几何关系可得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114411312606.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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