Turntable ground is not always tonearm ground. The tonearm needs to be independently grounded to the phono stage. If the turntable power supply and or motor ground is tied to the tonearm, it will cause a ground loop and hence the hum.
Btw, polarized plugs are not a “nanny state” encumbrance. They ensure that equipment which has a “grounding resistor” from neutral to chassis, usually several megohms, doesn’t inadvertently have the chassis become energized to hot lead potential by mistake. The whole concept is flawed of course. ULc, CSA and UL allows this terrible method of false economy for a manufacturer to avoid cost of a proper grounded power cord.
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