Turntable Hum


I've got an old Technics that is giving me fits...there's a slight hum present, that's there regardless of whethter the unit has a headshell attached or not, and regardless of whether it's AC power is plugged in. When I swing the arm across the platter, the hum varies from crackling and loud to nothing. It's not near a transformer or anything like that. Any ideas? I'm really perplexed by the behavior of the arm.
vanmeter
No, I don't have two grounds run. I'll certainly try it, but I guess I ruled it out since the hum doesn't change when I unplug the unit.

We have a less-than-a-year old baby, so I'm not sure when the problem cropped up, since I don't get as much time as I used to. I'd love to be able to trace it to one event, but I can't.
Could there be a problem internally with the arm wiring, it seems that a hum from a broken or bare wire might change it's sound when the arm is moved and changes position. Just a thought.
What cartridge are you using? If it happens to be a very high output cartridge like some Grados, they can cause hum.