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Two identical uniform bars are held on a horizontal surface by sliding a vertical peg through their centers as shown above. In both cases, objects of equal mass slide with negligible friction toward the bars with equal speeds. In Case 3, shown above left, the object collides and sticks to the bar, and in Case 4, shown above right, the object bounces off the bar and reverses direction.

Immediately after the collision, is the magnitude of the resulting angular momentum of the bar about its center of mass greater in Case 3, greater in Case 4, or the same for both? Justify your answer.

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