A uniform chain of length \( L \) and mass \( M \) is lying on a smooth table and one third of i...

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A uniform chain of length \( L \) and mass \( M \) is lying
on a smooth table and one third of its length is hanging vertically down over the edge of the table. If \( g \) is the acceleration due to gravity, calculate the work required to pull the hanging part on the table.
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