Examples of fallacies in propaganda:

Both of these propaganda ads from World War II employ the same logical fallacy, the false dilemma fallacy - this fallacy creates a false sense of urgency in an audience and makes them believe that there are only two possibilities. The dilemma is false because it represents a distortion of the actual state of affairs and forces the audience to choose between two alternatives, where one of them is usually unpleasant/evil/negative.

this ads intention is to make people believe that if they do not join a car-sharing club they are joining Hitler and supporting the Nazi army. The choices are car club or Hitler, there are no other options.

this ad only poses two options, buy "Victory bonds" or the Nazi's will get your baby. If you do not buy bonds you will not be able to keep your children/family safe.