浅谈力学中线量和角量的关系

On the Relationship between Linear and Angular Vectors

矢量力学中所涉及到的物理量有矢量也有标量,部分矢量根据质点组的运动状态有线量和角量.如果质点组有转动运动,则在该质点组的运动方程中肯定要涉及到角量,但是角量较线量相对复杂,理解困难.鉴于此,浅谈线量和角量二者关系,提出二者之间的统一表达式,以加深理解和灵活应用.

Vector mechanics involves vectors and scalars. According to the particle group movement state, some vectors in- clude linear vector and angular vector. If the particle group is in rotational motion, then angular vector will certainly be in- volved in the particle group equations of motion. However, angular vector is relatively more complex than linear vector and dif- ficult to understand. In view of this, this paper discusses the relationship between linear vector and angular vector, proposes a unified expression and thus deepens understanding and flexible application.