This may be way off topic but, IMHO, this thread is emblematic of many posts. The OP is obviously a novice in the field of residential wiring, abet one who feels safe venturing into an unknown field. His problem was one many of us have, we forget to properly identify what we are talking about. It is so simple to site make, model and properties of what we are writing about. I have seen the evolution of residential electrical wiring from 1954 to present and since buying our Bounder, I have noted many changes in every facet of RV construction and materials. The name and model of your rig, company name and model of the piece of equipment you are having trouble with and the problem is the minimum information needed to respond logically. Pictures are almost always very helpful.
One should not be afraid to show that he is not a specialist in all things but just say what is wrong. The responders should in my opinion help the OP by explaining how to correctly state the problem. There are several sites dealing with and explaining basic electricity as it applies to RV's as well as S&Bs, suggesting the OP look at them in the future is a friendly and helpful thing.
I found the OPs statement a little vague and he didn't know how to identify the breaker. As I see it he has a breaker that has too many high current draw items it and not a bad breaker. Letting him know what he most likely has is a double circuit breaker in the spot designed for a single CB and how to isolate it. Several of you stated the obvious, disconnect all incoming power, shore, generator and inverter circuits. It would seem to me that his rigs wiring has a problem, too many things on the breaker. The OP did let us know directly that the AC and Comp #2 were on the breaker and indirectly by saying that other things stopped working when the CB tripped.
Do you get where I'm going, it's a lack of detail and failure to read between the lines. The CB is probably a double breaker(cheater) but not a double pole or 240 volt breaker(two single pole breakers tied together). Going into DP/DT definition isn't necessary or relevant. Uncalled for statements saying this is always and forever the way it is isn't relative either. Just because it's that way in your rig doesn't mean that is the industry standard. I had never seen an panel of low voltage automatic reset breakers in a rig in place of fuses until last year, and then I only saw them in the Winnies. Doesn't mean a thing, I wasn't looking for them in the other rigs, they may be very common in the industry today and they may go back several years.
Getting in an argument on someone's point of view is pointless and in this post just lead to flaming one another and forgetting the problem.
OK, my rant is over, and I'll let rvhump have my take on the problem and how I'd fix it.
There is probably nothing wrong with his breaker, the problem is most likely as stated by someone, the AC and the Microwave shouldn't be on the same circuit. The electrical codes almost everywhere in the US wouldn't allow that. MW, Garbage disposals and heavy draw items should be on their own circuits. I would suggest that he(following all safe practices) strip off everything but the AC from the circuit and see if the CB trips. Bet it won't.
I know that there isn't always room for the number of circuits in a house and some things may need to be doubled up but a AC unit and a Comp.(I guess compressor), MW and probably(I'm guessing here too) an outlet circuit with a toaster or maybe hair dryer connected, not good. Sometimes things have to be sharing the same circuits but the OP and everyone else should know not to turn them all on at once.
Hope this helps the OP.