To push or squeeze something tightly into a narrow space so it gets stuck.
From 'wedge' (Old English 'wecg'), a triangular tool or shape used to split things or create tight spaces. The verb form adds '-ed' to describe the action of using a wedge or creating that tight situation.
A wedge is one of the six simple machines, and the word 'wedged' hints at why—it's so useful for getting stuck that we had to make it a verb to describe the act of getting impossibly trapped!
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