An argumentum is a formal term for an argument.
That would be called a "red herring" fallacy, an informal fallacy known as argumentum ad populum.
'Believe this or I shall hit you' is called the Argumentum ad Baculum (the Argument with a Stick) in formal logic. It is also sometimes called the appeal to force. In order to function at all this argument needs to be delivered by someone who actually has the capacity to harm the person that they are trying to convince. It is hence an established favourite with doorstep evangelists and very young children.
Depending on the context, tone of voice/writing used, and strength of belief in the opposing truth, there can be a variety of answers. Sarcasm: This is generally a lighter tone and will be generally understood quickly to intend the opposite of the words spoken. I.e. "Yeah, she'll be home for dinner." if said in a sarcastic tone would easily be inferred to mean that she will not make dinner. Irony: Similar to sarcasm, but this typically underlies a more emotional or treasured belief. I.e. "I love how people are only valued as dollar signs." if said ironically would be inferred to mean that you believe strongly that people are worth more than their economic values. Hypocrisy: This is when somebody makes a statement that unwittingly contradicts a belief that they hold. Unlike sarcasm, this is not intentional, but accidental. I.e. If a slave-owner said, "I believe that all people should be free." he would be speaking hypocritically because he is actually taking part in the act of enslaving other humans. Argumentum ad Absurdum: "Arguing to the Absurd" is a technique used commonly to prove a point that a person does not like is wrong because it leads to some absurd consequence that its advocator cannot condone. The arguer does not typically believe the absurd case either. I.e. Arguer 1 says, "I believe all workers should make a wage." Arguer 2 (absurd case) replies, "Well, doesn't that mean that children should pay their mothers for their work?" Denial: The person could know the truth, but consciously reject it because that truth would disappoint or anger the person. I.e. A girl may say "My boyfriend still loves me" when what she really means to say is "Comfort me since my boyfriend dumped me and I don't know how to handle it."
An argumentum ad verecundiam is an argument from authority, or an appeal to authority.
An argumentum ad passiones is an appeal or argument intended to convince the listeners by agitating the emotions.
An argumentum ad populum is a fallacious argument which concludes that a proposition is true because many people believe it.
An argumentum ad Lazarum is an appeal to poverty - a logical fallacy that a conclusion is correct because the speaker is poor.
An argumentum ad crumenam is a logical fallacy of concluding that a proposition is correct because the person suggesting it is rich.
An argumentum ad fidem is a fallacious argument that asserts the truth of a proposition by an appeal to pious testimony or religious revelation.
argumentum a fortiori
Argument to the stick is the English meaning of 'argumentum ad baculum'. In the word by word translation, the noun 'argumentum' means 'argument'. The preposition 'ad' means 'to'. The noun 'baculum' means 'stick'. Stick is not referring to a stick as in a twig or a branch, it is referring to an object like a club that is used to hit things, like the club that police carry around. They carry it around, because they use it to make people stop doing things like running away from them.
The rhetorical device that attempts to justify an action based on popular belief or participation is an argumentum ad populum. Argumentum ad populum is a logical fallacy, because popular opinion can often be wrong.
An appeal to emotion is a rhetorical strategy that manipulates the audience's feelings, such as fear, pity, or joy, to persuade them to agree with the argument being presented. This technique often bypasses logical reasoning and relies on evoking strong emotional responses to sway the audience's opinion.
Class envy statements. The rich should pay their fair share, hence we should raise their taxes. etc.
Appeal to the crowd what should we use has a school crest. Then the crowd votes and majority wins