质量加速度矩定理探讨

Probe into the Theorem of Mass-Acceleration of Moment

本文提出质点和质点系 (绝对运动和相对运动 )质量加速度矩定理。由牛顿定律直接导出此定理 ,并给出此定理用于刚体平面运动的各种动力学方程 :矩心为定轴、质心、加速度瞬心、特殊速度瞬心、以及任意动点。这些方程最简明地给定了物体转动运动量与物体所受力系主矩之间的关系。此定理可以理解工科理论力学中儿乎所有用动量矩定理和用动静法力矩方程解的问题 ,而且比它们更直接 ,简明。

This paper proposes the theorem of moment about mass acceleration of the particle and the system of particles (absolute motion and relative motion).This theorem is deduced directly from Newton Laws and can be applied to various kinds of kinetic equations used in plane motion of rigid body:moment about fixed axis,center of mass,instantaneous acceleration center,some particular instantaneous velocity center and arbitrary moving point .These equations most briefly demonstrate the relationship between rotational motion quantity of body and principal moment of force system.The theorem can be applied to almost all the problems solved by using theorem of moment of momentum and the equations of moment of forces of kinetostatics in mechanics engineering and is more simpler,direct and convenient.