Hello. If I had to guess I would say that your idle is dropping making the motor shake. The fan kicks on and draws more current. The AC compressor puts an even greater load on the motor. As a result of the greater current draw, the load on the alternator increases and the motor RPM drops. The AC will want to slow it even more. The shake is probably exacerbated by old and worn motor mounts. Here is where I would start. Make sure the air filter is clean and there are no clogs. Look for a vacuum leak. The intake accordion tube is the first likely place. Spread the pleats and make sure there are no cracks. Work you way around the various intake hoses and see that they are all intact. I would next look at battery health. Specifically look to the grounds and make sure they are clean. Clean up the terminals and the chassis and motor ground cables. The second would be the alternator. Make sure the belt is not slipping (old and stretched) and possibly putting out low voltage in general. There could also be an issue with the purge solenoid.My car engine starts to shake whenever my radiator fans turn on. They will turn on and off while idling with my ac. Any suggestions on what might be wrong with my radiator. I am going to look at it tonight just thought I would get some opinions and suggestions of what it could be.
Poke around and tell us what you find.
Good luck.