Grinding noise under the car in right turn

Grinding noise under the car in right turns

When I make a right turn, especially over 25mph, I get a grinding noise coming from what seems like the center of the car; maybe from the diff, maybe from the axle, but I can't really pinpoint it. If I am accelerating with the turn, the grinding noise will increase. It's like something is spinning down there and rubbing something else and it's swaying to hit whatever that thing is while I'm doing a right turn. It did happen the other day going over a speedbump at an angle, so maybe it happens when the left side of the suspension is more compressed (like a right hand turn).
So it seems like whatever it is is getting worse (before I'd have to turn even faster to get it to make this grinding sound), and I just want to know if anyone else has run into something like this.