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2.16. Balancing the stick ** 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 l from the end (see Fig. 2.23).

2.16. Balancing the stick ** 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 l from the end (see Fig. 2.23).

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How to derive the equation of the density(p): P(x)=Ae^(-x/l) for the below question.

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Fig. 2.22 2.16. Balancing the stick ** 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 l from the end (see Fig. 2.23). |<1→I Fig. 2.23 2 17 The sneol
Transcribed Image Text:Fig. 2.22 2.16. Balancing the stick ** 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 l from the end (see Fig. 2.23). |<1→I Fig. 2.23 2 17 The sneol
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