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Tutorial on Gravitational Pendulum Theory Applied to Seismic Sensing of Translation and Rotation

Physics Department, Mercer University, 1400 Coleman Avenue, Macon, Georgia 31207

Following a treatment of the simple pendulum provided in Appendix A, a rigorous derivation is given first for the response of an idealized rigid compound pendulum to external accelerations distributed through a broad range of frequencies. It is afterward shown that the same pendulum can be an effective sensor of rotation, if the axis is positioned close to the center of mass.

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