According to the Jeff Miller's Earliest Known Uses of the Words of Mathematics "Moment was taken into Statistics from Mechanics by Karl Pearson when he treated the frequency-curve (or observation curve) as the sheet enclosed by the curve and the horizontal axis. See his "Asymmetrical Frequency Curves," Nature October 26th, 1893: "Now the center of gravity of the observation curve is found at once, also its area and its first four moments by easy calculation."
This implies that the term moment was taken from mechanics. On the other hand, a Wikipedia reference Robertson, D.G.E.; Caldwell, G.E.; Hamill, J.; Kamen, G.; and Whittlesey, S.N. (2004) Research Methods in Biomechanics. Champaign, IL: Human Kinetics Publ., p. 285 says that the concept of moments was taken from mathematics
I was wondering about the analogy of mechanical moment (force into the distance) with the statistical moment. What would be a mechanical analog of the zeroth moment (area), first moment (center of gravity), and second moment (variance) or there is none? Thanks.