有关惯性矩、角加速度之间的关系两个圆盘,一个是实心,一个是中间有个洞,相同的半径、厚度、质量,并且有一个相同的切线力F施加在两个圆盘上,使得圆盘绕着垂直于中信的轴转动Imaginetwoc

Question

有关惯性矩、角加速度之间的关系
两个圆盘,一个是实心,一个是中间有个洞,相同的半径、厚度、质量,并且有一个相同的切线力F施加在两个圆盘上,使得圆盘绕着垂直于中信的轴转动
Imagine two circular plates; one is solid and the other has a hole cut out of the center.Both plates have the same radius,same thickness,and same mass.The same force F is applied tangential to the edge of each plate in such a way that the plates rotate about an axis passing through the center and perpendicular to the surface of the plates.
下列有关角加速度的哪个叙述是正确的
Which one of the following statements is true regarding the angular acceleration?
空心的角加速度大
A.The plate with the hole will have the greater angular acceleration
两个圆盘角加速度相同
B.Both plates will rotate with the same angular acceleration
实心的角加速度大
C.The solid plate will have the greater angular acceleration.
下列哪个叙述可以解释上述的选择（多选）
Which of the following statements helps to explain the question asked above?(Select all that apply.)
空心的质量分布原理轴心,所以惯性矩大
A.The plate with the hole has its mass distributed further out from the axis of rotation,which will increase its moment of inertia
角加速度和惯性矩成正比
B.Angular acceleration is directly proportional to the moment of inertia.
因为两个圆盘质量相同,所以惯性矩相同
C.Because both plates have the same mass,they will have the same moment of inertia.
两个圆盘受同样的力矩
D.Both plates will be subjected to the same torque.
角加速度和反比
E.Angular acceleration is inversely proportional to the moment of inertia.
我的选择是第一题是C,因为 力矩=惯性矩*角加速度,所以力矩相同的情况下,实心的惯性矩小,所以交际速度大,第二天我选的A\D\E,

Answer 1

根据动量矩定理 Jε=Mo(F),选1.c ;2.A、D、E 正确