03 Standard when put in gear and drving will make deep vibrations

My 30 neon when driving will have deep vibrations. Me and my friend jacked it up to get under it since its a FWD car. My girlfriend started it up and put it in gear and there was nothing. So we checked the tires and they had no play the engine is fine no shaking/ idles smooth. So when we drop the car and we drive it does it. It puzzles me how when the car has no weight on it there was nothing but when we dropped it and drove around there was the noise/vibrations.

bad engine mounts

Hi there, just my car has the same problem, when a push the gas i fell the shaking, if i take out the foot from the gas pedal the shaking dissapear, it was the inner axle shaft, best regards!!!

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