陈立群, 魏莎. 关于动点的动量矩定理及其教学处理. 力学与实践, xxxx, x(x): 1-4.
引用本文: 陈立群, 魏莎. 关于动点的动量矩定理及其教学处理. 力学与实践, xxxx, x(x): 1-4.
Chen Liqun, Wei Sha. Theorem of moment of momentum about a moving point and its teaching aspects. Mechanics in Engineering, xxxx, x(x): 1-4.
Citation: Chen Liqun, Wei Sha. Theorem of moment of momentum about a moving point and its teaching aspects. Mechanics in Engineering, xxxx, x(x): 1-4.

关于动点的动量矩定理及其教学处理

THEOREM OF MOMENT OF MOMENTUM ABOUT A MOVING POINT AND ITS TEACHING ASPECTS

  • 摘要: 本文讨论关于动点的动量矩定理的教学。考察了几种理论力学教材中对不同形式的动量矩定理的处理,包括关于固定点的动量矩定理、关于质心的绝对和相对动量矩定理以及关于任意动点的绝对和相对动量矩定理。分别基于关于质心的相对动量矩定理和关于任意动点的绝对动量矩定理,给出了关于任意动点相对动量矩定理两种新的推导。

     

    Abstract: Teaching about the theorem of moment of momentum about a moving point is discussed. A few textbooks of theoretical mechanics are investigated in the treatments of different forms the theorem of moment of momentum, including the theorems of moment of momentum about a fixed point, the mass center, and an arbitrary moving point as well as the theorems of moment of relative momentum about the mass center and an arbitrary moving point. Two new derivations of the theorem of the relative moment of momentum about an arbitrary moving point are proposed respectively based on the theorem relative moment of momentum about the mass center and the theorem of moment of momentum about an arbitrary moving point.

     

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