TITLE:
A Short Vector Solution of the Foucault Pendulum Problem
AUTHORS:
I. A. Ciureanu, D. Condurache
KEYWORDS:
Foucault Pendulum, Non-Inertial Reference Frame, Closed Form Vector Solution, Complex Vector
JOURNAL NAME:
World Journal of Mechanics,
Vol.5 No.2,
February
27,
2015
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.