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
Most actually don't know what tonearm effective mass is. Tonearm effective mass can be expressed as the moment of inertia about the pivot divided by the effective length of the tonearm squared. Which makes it very hard to calculate mathematically as it is dependent on the distance of mass distribution from the pivot.

There is a simple practical method for determining the effecive mass of a tonearm and it is to put in a cartrige of known compliance and use a test record to determine the resonant frequency of the moving system, such as the HFN&RR Test Record and then you can work the math back from there to determine the exact effective mass of the arm.

Resonant interactions between arm and cartrige audibly swamp any and all contributions that are a result of the primary arm/cartridge resonance and are much less predictable. There is some common angst about primary resonance, but just being in the ball park is generally more than enough.
Oh and to work the maths backwards the resonant frequency is equal to 159 divided by the square root of the effective mass of the arm times the compliance of the cartridge. Even so, you will only come out approximately, because of variance in compliance with frequency and static vs. dynamic compliance to name just two of the reasons.
Google might make it easier if you find someone that explains it an easy way.[http://www.google.com/search?hl=&q=measure+tonearm+effective+mass&sourceid=navclient-ff&rlz=1B3MOZA_enUS325US326&ie=UTF-8][http://www.theanalogdept.com/cartridge___arm_matching.htm]