Obligated can mean that you have to do something because the law or the rules say that you do. For example, you're obligated to pay your taxes by April 15. It can also mean that you just feel like you need to do something because it's the right thing to do or because you feel like you owe someone.

1. : to stop (something) from falling or slipping by placing something under or against it. We propped up the beams with long boards.

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A prop is something you use as a support, like a broom that serves as a prop to hold a door open. A prop is also something that goes on stage, like a garbage can in a Beckett play.