动量矩定理的统一形式

关于动量矩定理的矩心选取问题已经讨论了几十年^1,2,8,4]。本文给出动量矩定理的统一形式。特别是导出了相对于速度瞬心的动量矩定理。在一般情况下它被认为是不可行的,然而我们用此定理解决了一个例题。该例通常被认为是相对于速度瞬心的动量矩定理不成立的有力证据。

A UNIFIED STATEMENT OF THE THEOREMS OF THE ANGULAR MOMENTUM

The question how to choose the centroid in the theorem of the angular momentum has been discussed for thirty years(see references 1]~4]). This paper gives a unified statement of the theorems of the change in the angular momentum of a system of particles. Especially, We develop the theorem of the angular momentum of a system of particles with respect to the centre of instontaneous zero velocity, in general, it is considered impossible.Using this theorem, we solve an example, the solution of which in this way was considered impossible.