题目内容
如图所示,光滑水平面上有一质量M=4.0kg的平板车,车的上表面右侧是一段水平轨道,水平轨道左侧连一半径R=0.25m的1/4圆弧轨道,圆弧轨道与水平轨道在
点相切.车右端C点固定一个处于自然状态的弹簧,弹簧左端恰与水平轨道上B点相齐。一质量m=1.0kg的小物块从圆弧形轨道顶端由静止释放,小车
B部分与小物块间摩擦系数为μ=0.2,其余各部分摩擦不计。已知
B的长度L=1m, g取10m/s2.求:
(1) 小物块经过
点时的速度大小;
(2) 弹簧的最大弹性势能;
(3) 小物块最终离小车B点的距离。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241227236937468.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723631212.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723631212.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723631212.gif)
(1) 小物块经过
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723631212.gif)
(2) 弹簧的最大弹性势能;
(3) 小物块最终离小车B点的距离。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241227236937468.jpg)
(1)
,
,![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723740407.gif)
(2)
解得v=0,
或![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723787639.gif)
(3)
解得v′=0,
,解得L′=0.25m
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723709480.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723724683.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723740407.gif)
(2)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723755475.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723771873.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723787639.gif)
(3)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723787490.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122723802465.gif)
略
![](http://thumb2018.1010pic.com/images/loading.gif)
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