Comparison of Modals of Obligation and Necessity

Modals of obligation and necessity are used to express the degree to which something is required or essential. Here's a comparison of some common modals in this category:
Must
 * Strongest obligation: Indicates a personal feeling of obligation or a strong internal feeling of necessity.
 * Example: I must study harder for my exams.
Have to
 * External obligation: Often used to express an obligation imposed by someone else (e.g., a rule, a boss, or a law).
 * Example: I have to wear a uniform to work.
Should
 * Weakest obligation: Expresses a recommendation or advice, often based on a general rule or social expectation.
 * Example: You should eat more vegetables.
Need to
 * Personal necessity: Indicates a personal feeling of necessity, often based on a personal need or desire.
 * Example: I need to go to the gym to stay in shape.
Ought to
 * Moral obligation: Similar to should, but often implies a moral or ethical obligation.
 * Example: You ought to help those in need.
Have got to
 * Informal obligation: Similar to have to, but more informal and often used in spoken English.
 * Example: I've got to go now, I'm late.
Mustn't
 * Prohibition: Expresses a strong prohibition or something that is absolutely forbidden.
 * Example: You mustn't smoke in here.
Don't have to
 * Lack of obligation: Indicates that something is not necessary or required.
 * Example: You don't have to come to the party if you don't want to.
Here's a table summarizing the key differences:
Note: The specific meaning and usage of these modals can vary depending on the context and the speaker's intention.