Point of order. Effective mass of the tonearm is really the moment of inertia of the tonearm. The moment of inertia is calculated using I=mr^2. That means if you switch the mass of the counterweight and do not move it then the moment of inertia will change proportionally. If you must move the counterweight in or out, the moment of inertia is going to change by the square of the distance.
The angular momentum is I times rotational speed or like mv in linear terms. Angular momentum affects how quickly the tonearm moves or reacts to force changes. The force changes come from the stylus to record and through the suspension system of the cartridge
That means the natural frequency of the tonearm cartridge system is dependent upon its inertia, or effective mass divided by the spring rate of the cartridge and then the square root of that.
Long story short, change in counterweight mass as well as moving the counterweight in or out will change the Fn of the system. A lighter cartridge reduces mass and also allows you to move the counterweight in. So effective mass of the tonearm/cartridte goes down. If the spring rate of the lighter cartridge is lower (higher compliance) then the overall system natural frequency may remain nearly the same.
The angular momentum is I times rotational speed or like mv in linear terms. Angular momentum affects how quickly the tonearm moves or reacts to force changes. The force changes come from the stylus to record and through the suspension system of the cartridge
That means the natural frequency of the tonearm cartridge system is dependent upon its inertia, or effective mass divided by the spring rate of the cartridge and then the square root of that.
Long story short, change in counterweight mass as well as moving the counterweight in or out will change the Fn of the system. A lighter cartridge reduces mass and also allows you to move the counterweight in. So effective mass of the tonearm/cartridte goes down. If the spring rate of the lighter cartridge is lower (higher compliance) then the overall system natural frequency may remain nearly the same.