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arXiv 1201.2971physics.class-ph
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旋转系统中的功和能

Work and energy in rotating systems

Diego A. Manjarres, William J. Herrera, Rodolfo A. Diaz

摘要:

文献分析了当使用非惯性旋转系统时,牛顿第二定律可以使用的方式。然而,在教科书中没有考虑旋转系统中的功和能量定理的处理。本文证明了只要适当地把虚拟力的功包含在形式体系中,功和能定理仍然适用于旋转系统中的封闭质点系。科里奥利力对来自虚拟力的功没有贡献。值得注意的是,在惯性参考系中不作功的实际力在旋转参考系中也能作功,反之亦然。还研究了原点加速度和非惯性系转动的联合效应。

英文摘要:

Literature analyzes the way in which Newton's second law can be used when non-inertial rotating systems are used. However, the treatment of the work and energy theorem in rotating systems is not considered in textbooks. In this paper, we show that the work and energy theorem can still be applied to a closed system of particles in a rotating system, as long as the work of fictitious forces is properly included in the formalism. The coriolis force does not contribute to the work coming from fictitious forces. It worths remarking that real forces that do not do work in an inertial reference frame can do work in the rotating reference frame and viceversa. The combined effects of acceleration of the origin and rotation of the non-inertial system are also studied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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