Turning and accelerating car started to shake???

I have a 98 a4 Trans am and Today i was tuning right and giving it a decent amount of gas (Pulling into traffic) and all of a sudden most of the car started shaking kinda crazily once then went away when i kinda straightened out...and didnt do it again on any other turns on theway home..but i didnt give it as much gas on those other turns. any suggestions on what this could be ....thanks

Maybe a tranny mount. or maybe a unbalanced driveshaft (what gears do you have?) . Could also a missing/damaged.loose suspension component.

it could also be a bad rooter or you might have cut it to sharpe my car does it if i cut the wheel to sharpe, did it make any noise when it happend?