本文给出了最大转动惯量轴与最小转动惯量轴相互垂直的证明。
In this paper, the axes of maximum and minimum moment of inertia is proved to be mutually perpendicular.
但它完全不同，转动惯量，如果将其绕这轴旋转。
But it's completely different, the moment of inertia, if you rotated it about this axis.
这有点奇怪，关于x轴的转动惯量跟y有关。
It is slightly strange but I have y in inertia about the x-axis.
它也可以被写成，这里我写上,你们马上会发现原因，那就是转动惯量,取决于我选择，哪一个转动轴,乘以ω的平方。
1/2I So this can also be written as one-half I, C I put a C there you will see shortly why, because the moment of inertia depends upon which axis of rotation I choose times omega squared.
例如，关于z轴的转动惯量,是∫∫∫δ
For example, the moment of inertia about the z-axis is dV the triple integral of x squared plus y squared density dV.
关于绕z轴的转动惯量,到z轴的距离是多少？
OK, so moment of inertia about the z axis so, what's the distance to the z axis?
角动量守恒，惯量，平行轴原理。
Conservation of angular momentum, moment of inertia, parallel axis theorem.
如此的分解，能使转动惯量平行轴定理或惯量积平行轴定理均极其便于表述。
Such a decomposition greatly facilitates the formulation of the theorem of parallel axes for the moments or for the products of inertia.
还阐明了弹性联轴器的阻尼，刚度和高速轴上各转动惯量等参数对起升机构动力响应的影响。
Moreover, the article elucidates the influence of various parameters on the dynamic response of the hoist - the damp of elastic coupling, stiffness, each turning inertia of hoist shaft, etc.
利用复摆定轴转动原理和刚体平行轴定理设计的一种新型转动惯量测定仪。
A new measuring instrument of rotational inertia has been devised by the fixed - axis rotation principle and parallel axis theorem of compound pendulum.
用分步计算和广义球面坐标变换两种方法对椭球体绕对称轴旋转的转动惯量进行了计算，计算表明，后一种方法简单、实用，在工程实际中有应用价值。
The rotary inertia of an ellipsoid rotating around the symmetry axis is calculated by use of the divided calculation and the extensive spherical coordinate transformation.
并给出了对坐标轴的转动惯量的简化计算公式。
A simplified computing formula of moment of inertia of the coordinate axes is given as well in this paper.
由于地球是扁球体，绕极轴惯量矩最大，而绕在赤道面内的轴的惯量矩最。
Because of its oblate shape, the moment of inertia of the earth is a maximum about the polar axis and minimum about an axis in the equatorial plane.
平行的轴统治在区域转动惯量。
颅骨图像在几何上具有对称性特征，根据转动惯量在几何对称性对象上所具有的良好性质，提出一种改进的计算对称轴的算法，该算法利用计算机语言编程实现。
A modified computing symmetry axes algorithm is proposed for the geometry symmetry good property of skull image and the moment of inertia on the symmetry objects.
针对多轴转台中负载转动惯量和干扰力矩的不确定性，提出了一种离散的模型参考自适应控制方法。
In view of the uncertainty in the load moment of inertia and the disturbance of test table with three or more axes, a discrete time model reference adaptive control is presented in this paper.
应用微元法给出了在三维欧氏空间中质量曲线和质量立体对任意一条直线的转动惯量的计算公式，并给出了对坐标轴的转动惯量的简化计算公式。
Via an infinitesimal method, the author offers a computing formula for the moment of inertia of mass curves and mass cubes against any straight line in Euclidean space.
应用微元法给出了在三维欧氏空间中质量曲线和质量立体对任意一条直线的转动惯量的计算公式，并给出了对坐标轴的转动惯量的简化计算公式。
Via an infinitesimal method, the author offers a computing formula for the moment of inertia of mass curves and mass cubes against any straight line in Euclidean space.
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