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A Short Vector Solution of the Foucault Pendulum Problem

DOI: 10.4236/wjm.2015.52002    2,938 Downloads   3,525 Views  

ABSTRACT

The paper studies the motion of the Foucault Pendulum in a rotating non-inertial reference frame and provides a closed form vector solution determined by vector and matrix calculus. The solution is determined through vector and matrix calculus in both cases, for both forms of the law of motion (for the Foucault Pendulum Problem and its “Reduced Form”). A complex vector which transforms the motion equation in a first order differential equation with constant coefficients is used. Also, a novel kinematic interpretation of the Foucault Pendulum motion is given.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Ciureanu, I. and Condurache, D. (2015) A Short Vector Solution of the Foucault Pendulum Problem. World Journal of Mechanics, 5, 7-19. doi: 10.4236/wjm.2015.52002.

References

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