“product of inertia”的概念、定义、习题解题方法及翻译-数学辞典

单词

product of inertia

释义

product of inertia

A quantity similar to a moment of inertia and appearing in the inertia matrix. Suppose a rigid body consists of n particles P1, P2,…, Pn, where Pi has mass mi and position vector ri = (xi,yi,zi). Then

For a continuous distribution of mass, the products of inertia are defined by corresponding integrals.

When the coordinate planes are planes of symmetry of the rigid body, the products of inertia are zero. In fact, by the spectral theorem, through any fixed point there is a set of three perpendicular axes, called the principle axes, such that the corresponding products of inertia are all zero.

随便看

数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。