An example of coercive manipulation is "If you truly loved me, you will do exactly what I say, whether it is right or wrong." Another example is "If you were really my friend, you will help me to cheat so that I can pass the exams."
Coercive manipulation does not usually involve physical force. It is more of emotional or mind control. For example, a man buys a woman one too many drinks with the purpose of making her drunk. Then he asks her to have sex with him. In her inebriated state, her thinking is not clear and she has sex with him. Persuasion is not the same as manipulation. Manipulation only serves the interest of the manipulator while persuasion serves the purpose of benefiting both the persuader and the person being persuaded.