Question: Given a semi-infinite stick (that is, one that goes off to infinity in one direction), determine how its density should depend on position so that

Given a semi-infinite stick (that is, one that goes off to infinity in one direction), determine how its density should depend on position so that it has the following property: If the stick is cut at an arbitrary location, the remaining semi-infinite piece will balance on a support that is located a distance ? from the end (see Fig).

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