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Theory of the hinged seismometer with support in general motion^*

UNIVERSITY OF CALIFORNIA, BERKELEY, CALIFORNIA

Abstract

We may summarize the conditions under which we are justified in neglecting rotations or tilts of the earth and accelerations in directions other than that in the direction of freedom of the pendulum at rest.

Note that we have first restricted ourselves to hinged pendulums with motion constrained in a plane and have required the angular displacement to be small. Here,

(I)

(II)

(III)

(IVa)

(IVb)

(V)

(VI)

Abbreviations: T₀, is the free period of the pendulum.L, the distance from the axis of rotation to the center of oscillation (the equivalent simple pendulum length).a, that to the center of mass.g, is the acceleration of gravity.T, is the period of simple harmonic earth waves., is their wave length.V, is their apparent surface speed.A, is their amplitude.

Footnotes

^* Manuscript received for publication July 17, 1951.

This article has been cited by other articles:

				F. E. ROMBERG Analytical expressions for transients in seismometer-galvanometer systems Bulletin of the Seismological Society of America, April 1, 1963; 53(3): 563 - 576. [Abstract] [PDF]