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Weber's Law Modeled by the Mathematical Description of a Beam Balance

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Abstract: A beam balance is analyzed as a model that describes Weber s law. The mathematical derivations of the torques on a beam balance produce a description that is strictly compatible with that law. The natural relationship of the beam balance model to Weber s law provides for an intuitive understanding of the relationship of Weber s law to sensory and receptor systems. Additionally, this model may offer a simple way to compute perturbations that result from unequal effects on coupled steady state systems. A practical outgrowth from this work is that a relatively simple mathematical description models sensory phenomena and may aid in the understanding of sensory and receptor systems.

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