Increased engine load: When you turn on the AC, it puts an extra load on the engine. This can cause the engine to vibrate, which can be felt inside the car.
Compressor clutch engagement: When the AC compressor engages, it can also cause the engine to vibrate. This is because the compressor clutch is a heavy component that spins at high speeds.
Refrigerant pressure: If the refrigerant pressure is too high or too low, it can cause the AC system to malfunction and the car to shake.
Faulty AC components: If any of the AC components are faulty, such as the compressor, condenser, or evaporator, it can also cause the car to shake.
If your car is shaking with the AC on, it's important to have it checked out by a qualified mechanic.