Perpendicular Axis Theorem
垂直轴定理
For a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia of two perpendicular axes through the same point in the plane of the object. The utility of this theorem goes beyond that of calculating moments of strictly planar objects. It is a valuable tool in the building up of the moments of inertia of three dimensional objects such as cylinders by breaking them up into planar disks and summing the moments of inertia of the composite disks.
对于平面物体，通过平面内同一点的两个垂直轴的转动惯量之和，即为该物体关于垂直于平面的轴的转动惯量。该定理的用途不仅限于计算严格平面物体的转动惯量。它在构建三维物体（如圆柱体）的转动惯量时也具有重要价值，可以通过将三维物体分解为平面圆盘，再对这些复合圆盘的转动惯量求和来实现。
Show the development of the relationship.
展示关系的发展
Moment of inertia concepts
索引 转动惯量概念
| HyperPhysics***** Mechanics
力学 | R Nave |
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