How to measure tonearm effective mass


Some of us who use high or low compliance cartridges fret about mating them with tonearms of low or high effective mass, respectively. Most of us rely upon data supplied by some manufacturers to specify the effective mass of their tonearms, but many manufacturers do not even supply such data. Does anyone know a simple and relatively accurate method for determining effective mass? We know what "effective mass" is; we want to know how to measure it.
lewm
Lew, All I can contribute on this subject is the result of modifying a linear arm to allow micro adjustments to effective vertical mass across a wide range of adjustment. This set-up separates observations related to changing effective mass from observations related to changes in wand composition or length. The effects are remarkable. So far in limited experience with a few cartridges, small changes in effective mass have more impact than VTF on taming subtle tracking problems and improving LF performance. The granularity and wide range of adjustment necessary to optimize each cartridge, suggest that the broad categories of light, medium, and heavy arms may be too coarse to consumate perfect marriage between arm and cartridge-- unless achieved by guess and by gosh.
Funny that only one pivoted tonearm I can think of actually has capacity to alter its effective mass, and that is the MA707 or the CF1 (or both) made by Micro Seiki. They used the simple device of a weight that slides fore and aft on the arm tube. You'd think that idea would have been widely adopted. Maybe they had a patent.

For some reason the first of my two posts hasn't turned up - I've had no end of problems with this forum lately. It referred to a post on another forum, maybe that's part of it.

Anyway, in it I posted a link to an improvement of my method by "markse", which involves using a rod of known inertia balanced at its midpoint in the place of the weights I used to calibrate the system. One end of the rod is attached to the speaker cone and the shift in resonance is plotted the normal way. This removes the inaccuracies generated by pushing the speaker's suspension off centre.

It does complicate the calculation somewhat, but a shorthand method is available - if the rod is uniform and thin in porportion to its weight, the "equivalent mass" seen by the speaker is 1/12th of its actual mass. Thus if you wanted a claibration range of say 10 to 20 g equivalent mass, choose rods around 120g and 240 g. Convert the frequency to a period (eg by inversion) and the result is a linear correlation of period shift to equivalent mass.

Mark Kelly
Dgarretson,

where you say "This set-up separates observations related to changing effective mass from observations related to changes in wand composition or length.", there is a further complication.

One of the things affected by wand composition and length is the presence and amplitude of arm resonances. If you happen to clamp the sliding weight at a vibrational antinode you will substantially alter the resonant character of the arm tube. This shows that there is some interaction between the two sets of parameters.

I've been playing with an arm with deliberately split vertical and horizontal effective masses (an idea I stole from the Dynavector DV50X series) and am investigating making the vertical effective mass adjustable. My first method was a simple sliding weight on the arm tube and I came across the resonance interaction I described.

Next up is a method of tuning the counterweight(s) so that the VTF and effective mass are separately tuneable. This gives me a problem if a very light cartridge is used, reducing the distance between the centre of mass of the counterweight and the pivot and reducing the possible adjustment range for effective mass, so I may have to combine the two.

Mark Kelly
Correction to above post:

Where I said "convert the frequency to a period (eg by inversion) and the result is a linear correlation of period shift to equivalnet mass"

I should have said "convert the frequency to a period and square the result. The result is a linear correlation of this quantity and equivalent mass."

My apologies for the error.

Mark Kelly