moment of inertia
[力] 惯性矩,转动惯量
2025-06-27 14:24 浏览次数 4
[力] 惯性矩,转动惯量
processional moment惯性矩;转动惯量
axial moment of inertia轴向惯性矩
Normalized moment of inertia归一化转动惯量
equatorial moment of inertia轴惯性矩
virtual moment of inertia[力]
moment t of inertia惯性矩
rotational inertia[力] 转动惯量;转动惯性;惯性矩
The moment of inertia惯性矩
axiing moment of inertia轴向惯性矩
angular moment of inertia惯性角矩
i deal with stars, and stars have rotational kinetic energy we「ll get back to that in a minute not in a minute but today and this is the one moment of inertia that i do remember.
研究星星,星星具有转动动能,我们一会儿讲它,今天会讲的,这是我记得的转动惯量。
i have moved the origin so that it is on the circumference of a disk, and i will again try to find the moment of inertia of this disk about the origin.
我已经移动了原点,所以它在圆盘的边上,接下来,再计算一次,圆盘关于原点的转动惯量。
i will ask you for a moment of inertia for some weird line or something like that. ok, but these you should know.
我会让你们求一些,比较奇怪的曲线的转动惯量,这些你们都应该知道。
and also, of course, we can set up not only the volume, but we can try to find the moment of inertia about the central axis, or all sorts of things.
我们不仅仅能算出体积,也可以试着去求,关于中心轴的转动惯量。
needless to say, that the moment of inertia depends on what kind of object you have.
不用说,转动惯量取决于,你选择的物体。
i am using fancy words today. and the moment of inertia -- the difference with a mass is that the moment of inertia is defined about some axis.you choose an axis.
我今天措辞别致,转动惯量就是——,与质量不同,转动惯量的定义跟旋转轴有关,选定一个旋转轴。
almost all moment of inertia is in this system.
几乎所有这个系统中的转动惯量。
so, of course, the moment of inertia is extremely modest compared to the sun, because the radius is so small and the moment of inertia goes with the radius squared.
当然,转动惯量是,怎么也比不上太阳的,因为半径太小,而转动惯量,与半径的平方有关。
well, we will try to compute now the moment of inertia about this point.
我们要去计算关于这个点的转动惯量。
i mean, there are some spokes here, but let」s assume that everything is here, so then the moment of inertia is mr squared.
我是说,有一些偏差,但是假设每件事都在这,所以时间惯量是mr的平方。
torque divided by moment of inertia is going to be d over dt of angular velocity.
扭矩除以转动惯量,等于角速度对t的导数。
what is the moment of inertia of that?
它的转动惯量是多少呢?
this is the radius of the earth, and you see the moment of inertia of the earth.
这是地球的半径,得到地球的转动惯量。
all i have to know now is what is the moment of inertia about p.
我现在只需要知道,点p的转动惯量是多少。
well, the moment of inertia is a boring job.
计算转动惯量,是一个枯燥的活。
and that's a very easy thing to apply, and that allows you now in many cases, to find the moment of inertia in situations which are not very symmetric.
它很容易运用,可以运用于很多例子,为了得到,非完全对称情况下的,转动惯量。
torque divided by moment of inertia is what will cause the angular acceleration, namely the derivative of angular velocity.
扭矩除以转动惯量,就会引起角加速度,也就是角速度的导数。
and so all we have to do now is to calculate the moment of inertia of the system, and then we can predict what the period -- of this pendulum is going to be-- which is not my goal.
所以我们现在要做的,是算出这个系统里的转动惯量,然后就可以预测出,这个摆的周期是多少-,这并不是我的目的。
notice that the moment of inertia for rotation about this axis which is not through a center of mass is always larger than the one through the center.
注意转动中产生的,转动惯量,转动轴没有通过质心,通常都大于通过质心的。