ctams

Hey all. I am the owner of a 1997 3.5 RL with about 145k miles on it. Recently I've been experiencing sporadic shaking when I reach ~65mph and sometimes lower speeds. It seems to happen on inclined, and happens when going straight but is noticeably worse when the wheel is turned right. The shaking goes away when I turn the wheel left. It comes and goes, and is hard to recreate for the mechanic. As of yesterday, the shaking was replaced by a whining noise and happens in all the same situations. Anyone have this happen to them/have any ideas on possible fixes?