Conclusions
The suggested technique serves to evaluate the distance from the center of gravity of the beam to its oscillation axis and the gap between the knife-edge bearings for a given load on the beam by measuring two oscillation periods of the beam and one oscillation period of the balance for a given load and determining the moment of inertia of the beam with respect to its oscillation axis. Having determined the gaps between the bearings for several loads, it is possible to evaluate the deformations of the beam and of the knife edges under the load. The sought for values of I, c, and m are determined, in this method of investigating equal-arm balances, by means of elementary calculations from simple formulas which do not require a large expenditure of labor or time, or the participation of highly-qualified operators.
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Literature cited
A. N. Dobrokhotov, “Theory and practice of precision balance mechanisms,” in a collection of articles by A. N. Dobrokhotov entitled Balances, Precision and Automatic Balances and Hondrometers [in Russian], Izd. Standartizatsiya i ratsionalizatsiya, Moscow-Leningrad (1934).
S. D. Gidaspov, Certain Investigations in the Field of Precision Balances. Mass, Volume and Density [in Russian], GONTI (1939).
N. A. Smirnova, “Investigating sagging in balance beams,” Transactions of the Institutes of the Committee, No. 62 (122) (1962).
S. I. Toropin, “Differential physical pendulum with a single system consisting of a knife-edge bearing and a block. Investigations in the field of gravimetric measurements.” Transactions of the VNIIM, No. 23 (83), Mashgiz (1954).
Additional information
Translated from Izmeritel'naya Tekhnika, No. 10, pp. 67–70, October, 1967.
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Toropin, S.I. New method for testing and adjusting equal-arm balances by the period of their oscillations. Meas Tech 10, 1252–1255 (1967). https://doi.org/10.1007/BF00981510
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DOI: https://doi.org/10.1007/BF00981510