如图所示,倾角
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3E%CE%B8%3C%2Fmi%3E%3Cmtext%3E%3D37%C2%B0%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的斜面AB长
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EL%3C%2Fmi%3E%3Cmtext%3E1%3C%2Fmtext%3E%3C%2Fmsub%3E%3Cmtext%3E%3D4.875m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 固定在地面上,一质量为M=1kg、长度
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EL%3C%2Fmi%3E%3Cmtext%3E2%3C%2Fmtext%3E%3C%2Fmsub%3E%3Cmtext%3E%3D4.5m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的木板静止在水平地面上,并与斜面在B点平滑对接,距离木板右侧d处固定一竖直挡板C,其高度略低于木板。现一质量m=1kg的物块(可视为质点),从距A点高h=0.45m处水平抛出,到达A点时速度方向恰好沿斜面AB下滑,经B点后滑上静止在水平地面的木板,木板向右运动,并与固定挡板C碰撞并粘连。已知物块与斜面的动摩擦因数
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3E%CE%BC%3C%2Fmi%3E%3Cmtext%3E1%3C%2Fmtext%3E%3C%2Fmsub%3E%3Cmtext%3E%3D0.25%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 物块与木板间的动摩擦因数
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3E%CE%BC%3C%2Fmi%3E%3Cmtext%3E2%3C%2Fmtext%3E%3C%2Fmsub%3E%3Cmtext%3E%3D0.5%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 木板与地面的动摩擦因数
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3E%CE%BC%3C%2Fmi%3E%3Cmtext%3E3%3C%2Fmtext%3E%3C%2Fmsub%3E%3Cmtext%3E%3D0.1%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, (
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Eg%3C%2Fmi%3E%3Cmtext%3E%3D10m%2F%3C%2Fmtext%3E%3Cmsup%3E%3Cmtext%3Es%3C%2Fmtext%3E%3Cmtext%3E2%3C%2Fmtext%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3Esin37%C2%B0%3D0.6%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3Ecos37%C2%B0%3D0.8%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
),求:
(1)求物块刚滑上木板时的速度大小;
(2)要使物块与木板共速时不碰到C,d值至少多大?
(3)要使物块能滑离木板,d值最大为多少?
![](http://tikupic.21cnjy.com/ct20241o/bc/37/bc3763ab81cf668b5fe41812c28f41ef.png)