94 325is rear end

Obviously it's the rear end but just what part of it might this belong to?
Here's the stats, when I accelerate with a bit of torque the rear end seams to twist right in its settings kinda pulling to one side. It almost feels like the whole rear assembly will pop off if I continue to accelerate, so I back down to a calm take off and it's a smooth climb to higher rpm & speed without all the "G"s.
Anybody ever experience this out there in Bimmerland?

E36's have stiff chassis but all rwd car rock to the side when you step on the gas. inspect your rear end a blown shock, sagging spring, bad balljoints could cause this. I doubt the frame would twist check everything out.

Diz,
You were right in a way, it was the bushings on the rear control arm (if that's what it's called) left one really worn out rubber. I'll replace both to be safe. thanx