That doesn't make any sense. But if your car vibrates at idle and stand still, then you probably have a fuel delivery or ignition problem that is causing a misfire.
I would look for a vacuum leak.
It would depend on what time of the day it was
Fast idle motor is not working. This is allowing the idle to fall below the threshold of what it should be when the A/C is on.
Possible bad motor mount
Probably insufficient idle speed. Most have a compensator to increase idle when it's turned on, use a tach to check. <><><><><> Most modern cars have an Idle Air Control (IAC) to control idle, and the computer handles it automatically. Some older cars, such as the 84 Caprice Classic, had an adjustable solenoid that stepped up idle when the compressor was on. If yours is one of these, make sure that the solenoid is extending when it should. In the case of the Caprice, it could be adjusted by turning the shaft via the nut on the end, but you should check your shop manual just to be sure.
Take it to auto zone and hav3 the codes read for free.
Bad idle, lack of power. Vehicle may shake or vibrate at idle.
An idle arm can vibrate due to several factors, including an imbalance in the engine's idle speed, misfiring cylinders, or worn engine mounts that fail to dampen vibrations. Additionally, issues with the idle air control valve or vacuum leaks can cause irregular airflow, leading to unstable engine performance. External factors such as road vibrations or unbalanced accessories (like the alternator or power steering pump) can also contribute to the vibration.
Check pLugs and wires and the vibration my be from brake pads or warped rotors
Check pLugs and wires and the vibration my be from brake pads or warped rotors
The engine is running C O C K
Unbalanced tires, warped rotor, bad engine mount, bent drive shaft, bent wheel, bad wheel bearings, bad U-Joint or CV joint, or your car might have a rough idle.