Put it at the start of a breakdown gag, just as the vehicle begins to struggle, then follow it with a fail sound once the engine finally gives up, keeping the joke focused on the failed attempt.
About this sound
This is a very short motor sound effect, lasting just over a tenth of a second, with a chugging, clopping and popping rhythm that sounds like an old engine struggling to keep running. It feels funny and clumsy, like a machine about to stall at the worst moment. It comes from the Donald Duck cartoon The Old Army Game, released in 1943.