Applies to all things incapable of "getting it up" to the quality you deserve. This including anything and anyone too ghetto or too dysfunctional to perform. Like an actual broke dick, these experiences can be disappointing, embarrassing, or downright painful.
My brokedick oven doesn't even have temperature settings. Shit's a glorified Easy Bake oven.
Her car is so brokedick that it only has a cassette player, but the system is bumpin with the screech of brakes and hiss of the engine.
He is so brokedick he takes his batteries out of the smoke alarm to put in his pager.