A uniform stick of length L is pivoted at its bottom end and is initially held vertical. It is given an infinitesimal kick, and it swings down around the pivot. After three quarters of a turn, the pivot is somehow vaporized, and the stick flies freely up in the air. What is the maximum height of the center of the stick in the resulting motion? At what angle will the stick tilt at that height?

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A uniform stick of length L is pivoted at its bottom end and is initially held vertical. It is given an
infinitesimal kick, and it swings down around the pivot. After three quarters of a turn, the pivot is
somehow vaporized, and the stick flies freely up in the air. What is the maximum height of the center
of the stick in the resulting motion? At what angle will the stick tilt at that height?
Transcribed Image Text:A uniform stick of length L is pivoted at its bottom end and is initially held vertical. It is given an infinitesimal kick, and it swings down around the pivot. After three quarters of a turn, the pivot is somehow vaporized, and the stick flies freely up in the air. What is the maximum height of the center of the stick in the resulting motion? At what angle will the stick tilt at that height?
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