An interesting and highly relevant paper on the subject of the is:
Determination of the Gravitational Constant with a Beam Balance describes using a mass comparator to measure the gravitational force of 13 tons of mercury, refining the accuracy of the Newtonian gravitational constant
If you are looking for different applications of the beam balance, these papers explore unique niches: beam balance
The balance serves as a prototype for the Archimedes experiment , which aims to measure the interaction between electromagnetic vacuum fluctuations and the gravitational field.
Review On Balance Beam Models discusses how balance beams are used in labs to assess motor skills, coordination, and the effects of neurological diseases like Parkinson's in animal models. An interesting and highly relevant paper on the
The balance operates in a low-seismic-noise laboratory in Sardinia, Italy. It has achieved sensitivity in the tens of mHz frequency band, limited only by thermal noise, which is essential for detecting the incredibly small forces associated with vacuum energy. Other Notable Papers & Perspectives
Weber's Law Modeled by the Mathematical Description of a Beam Balance proposes that the mathematical mechanics of a beam balance can actually model how human sensory and receptor systems perceive changes in stimuli. It has achieved sensitivity in the tens of
It features a 50-cm aluminum arm and uses an interferometric read-out system to achieve extreme precision.