If you don’t question me, you won’t feel obliged to deny it.
When his pause became long enough, she said, "I would be much obliged if you would let me speak to Mr. Weatherby."
It was almost a cry; she saw Dagny’s astonished glance and felt obliged to explain: "Mr. Danagger called me, on the interoffice communicator, and told me that he was not to be interrupted under any circumstances or for any reason whatever.
"I am sorry, gentlemen," said Rearden, "that I will be obliged to save your goddamn necks along with mine."
There are no more uses of "obliged" in the book.
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He obliged her by listening attentively.
They looked at me expectantly and I was obliged to comment.