Does it shake on FAN mode?
Most A/C's have a Fan/Blower motor. on one end (Outside where you can see it when you remove the outer cover) is a fan. I've had insects build a nest (mud daubers) on this fan.. I've also had a fan "Blow up" on me (Hey it was made in China. you know. China bombs) You may need to remove a 2nd "inner" cover to see both sides of the fan blades or to service it.
Then on the other end of the shaft, under a cover, is a blower cage. I've seen these crack and fail as well.. not on my Rig but on a neighbor's.. He got lucky (it was late Friday. Hot as Double hockey sticks, and no way could he get to a parts store before closing.. I had a spare I did not need. so he got lucky).
I"m guessing your problem is either the fan or blower.