Dertonarm
Your physics seems to be faulty here. Assuming that the counter weight is indeed firmly connected to the tonearm tube (which is always the case in a well designed pivoted arm), then, the effective mass of the arm must be dependent on the distance of the counterweight from the pivot (ie. the moment of inertia Iis dependent on the radius squared). The composite "I" for the arm tube/counterweight and subsequently the "effective mass" would essentially have the same dependency.