"The wind shook the car and tripped the alarm system. The alarm system went off."
In this context, "tripped" is usually a transitive verb. The subject is the thing that caused the alarm system to go off. The alarm system is the object, not the subject, of "tripped." That it, we do not say "the alarm system tripped," but we could say, in the passive voice, "the alarm system was tripped by the wind."
We can also say that the wind "triggered" the alarm system or "set off" the alarm system.
Quite possibly some people might say the alarm system "tripped," but that would be informal and not really correct.