一道英文物理题!A potter's wheel (a solid,uniform disk) of mass 6.0kg and radius R spins about its central axis with 5.0 rad/s.A 2.0kg lump of clay is dropped onto the wheel and sticks at the edge,decreasing its angular speed.Find the new angul

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 20:24:07
一道英文物理题!A potter's wheel (a solid,uniform disk) of mass 6.0kg and radius R spins about its central axis with 5.0 rad/s.A 2.0kg lump of clay is dropped onto the wheel and sticks at the edge,decreasing its angular speed.Find the new angul

一道英文物理题!A potter's wheel (a solid,uniform disk) of mass 6.0kg and radius R spins about its central axis with 5.0 rad/s.A 2.0kg lump of clay is dropped onto the wheel and sticks at the edge,decreasing its angular speed.Find the new angul
一道英文物理题!
A potter's wheel (a solid,uniform disk) of mass 6.0kg and radius R spins about its central axis with 5.0 rad/s.A 2.0kg lump of clay is dropped onto the wheel and sticks at the edge,decreasing its angular speed.Find the new angular speed of the system.
A.\x053.0 rad/s\x05\x05 \x05
B.\x056.0 rad/s\x05\x05 \x05
C.\x052.0 rad/s\x05\x05 \x05
D.\x053.5 rad/s\x05\x05 \x05
E.\x052.5 rad/s

一道英文物理题!A potter's wheel (a solid,uniform disk) of mass 6.0kg and radius R spins about its central axis with 5.0 rad/s.A 2.0kg lump of clay is dropped onto the wheel and sticks at the edge,decreasing its angular speed.Find the new angul
这题的意思是一个质量为6kg 半径为R的圆盘,以角速度5 rad/s 绕中心轴旋转(圆盘转动惯量为mR^2/2 ) 将一个2kg的小土块静止粘在圆盘边缘,求此后圆盘转动的角速度
这道题用角动量守恒来做
粘的瞬间,可看做角动量守恒(以转动轴为轴)
初始角动量只有盘的转动( mR^2/2 )* 5( 初始角速度 )=末态角动量*末态角速度
末态角动量等于盘的角动量+土块的角动量=3R^2+2R^2=5R^2
所以带入得到末态角速度= 3.0 rad/s\x05
选A

这是一道关于刚体的习题!主要运用到转动惯量,角动量守恒定理!
解题如下:由公式知道:J=1/2mR^2;
所以知J=1/2*6*R^2=3R^2;
两物体碰撞后角动量守恒
即: J w=J' w'
而 J=3R^...

全部展开

这是一道关于刚体的习题!主要运用到转动惯量,角动量守恒定理!
解题如下:由公式知道:J=1/2mR^2;
所以知J=1/2*6*R^2=3R^2;
两物体碰撞后角动量守恒
即: J w=J' w'
而 J=3R^2; J'=(J+m'R^2)=5R^2; w=5.0rad/s.
所以 w'=3.0rad/s.

收起