试题详情
如图,一质量为
m的小球(可视为质点)由轻绳
a和
b分别系于竖直轻质细杆上的
A点和
B点,当小球随轻杆一起以角速度
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsub%3E%3Cmrow%3E%3Cmtext%3E%CF%89%3C%2Fmtext%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsub%3E%3C%2Fmath%3E)
匀速转动时,绳
a水平且恰好伸直,已知绳
a长为
l , 绳
b与水平方向的夹角为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmtext%3E%CE%B8%3C%2Fmtext%3E%3C%2Fmath%3E)
, 重力加速度大小为
g。下列说法正确的是( )
![](http://tikupic.21cnjy.com/2024/05/06/1d/29/1d299427781f516580b7d51f825cad3f_161x133.png)
- A、小球受重力、绳b的拉力及向心力三个力作用
- B、角速度
的大小为![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Eg%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi%3El%3C%2Fmi%3E%3Cmn%3Ec%3C%2Fmn%3E%3Cmn%3Eo%3C%2Fmn%3E%3Cmn%3Es%3C%2Fmn%3E%3Cmtext%3E%CE%B8%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmath%3E)
- C、当小球随杆匀速转动的角速度为
时,绳b的拉力大小为![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmi%3Eg%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3Es%3C%2Fmn%3E%3Cmn%3Ei%3C%2Fmn%3E%3Cmn%3En%3C%2Fmn%3E%3Cmtext%3E%CE%B8%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmath%3E)
- D、当小球随杆匀速转动的角速度从
缓慢增大时,绳a、绳b对小球的拉力均将增大
知识点
参考答案