In the past, many studies have been made, and reports published, on the low-frequency resonance of tonearms (1), (2), (3). But it seems that no analysis has been made yet of where the best position is on a tonearm for its pivot. This paper introduces the new concepts of a static center of gravity and a dynamic center of gravity on a tonearm, and the optimum pivot position of a tonearm is analyzed in relation to those two points. It has been found that, when a tonearm receives a force from the stylus tip or when any vibration is conveyed to the tip from the pivot positon, the translational motion and rotational motion of the tonearm cancel each other out. This observation has enabled us to compute the optimum pivot position of a tonearm, and to couple our optimum pivot position theory with the theory of dynamically damping a tonearm, as proposed by other scholars and engineers in the past, to achieve more effective damping of the low-frequency resonance of a tonearm.
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