Limiting center of mass A thin plate is bounded by the

Chapter 14, Problem 42E

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QUESTION:

Limiting center of mass A thin plate is bounded by the graphs of \(y=e^{-x}, y=-e^{-x}, x=0, \text { and } x=L\). Find its center of mass. How does the center of mass change as \(L \rightarrow \infty \text { ? }\)

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QUESTION:

Limiting center of mass A thin plate is bounded by the graphs of \(y=e^{-x}, y=-e^{-x}, x=0, \text { and } x=L\). Find its center of mass. How does the center of mass change as \(L \rightarrow \infty \text { ? }\)

ANSWER:

Solution 42E

The centroid is located at (

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