题目内容
(14分)如图所示,物块A和长木板B的质量均为lkg,A与B之间、B与地面之间的动摩擦因数分别为0.5和0.2,开始时A静止在B的左端,B停在水平地面上.某时刻起给A施加一大小为l0N,方向与水平成
斜向上的拉力F,0.5s后撤去F,最终A恰好停在B的右端.(
=0.6,
)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250031000513303.jpg)
(1)通过计算说明前0.5s内木板B是否运动.
(2) 0.5s末物块A的速度.
(3)木板B的长度.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100004474.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100020496.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250031000361068.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250031000513303.jpg)
(1)通过计算说明前0.5s内木板B是否运动.
(2) 0.5s末物块A的速度.
(3)木板B的长度.
(1)B没有运动(2)
(3)![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100098433.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100082507.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100098433.png)
试题分析:(1)前0.5s对A分析有:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100114841.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250031001291165.png)
木板与地面间的最大静摩擦力
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250031001601256.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100176538.png)
(2)根据公式可得:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100192547.png)
代入数据可得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100410647.png)
(3)撤去外力F后,对A有:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100426681.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100441643.png)
对B有:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100457741.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100488755.png)
当A到达B右端时,二者速度相同,之后二者共同减速至静止,不再相对运动,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100519799.png)
各过程中AB的位移
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250031005351434.png)
根据几何关系可得B板的长度为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825003100550880.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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