Encouraged, with "on"

EGGED

Think of how someone might urge a performer to take the stage, or what you’d do to a friend’s car as a prank—both involve this action.

The clue plays on the phrase "egged on," which means to encourage someone to do something. "On" is included in the clue to hint at this common expression. Without the "on," you're left with "egged," which is the answer—a clever way to split the idiom for the crossword.