Locate the centroid x of the

Chapter 9, Problem 9-11

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QUESTION:

Locate the centroid \((\bar{x}\) of the shaded area

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QUESTION:

Locate the centroid \((\bar{x}\) of the shaded area

ANSWER:

Step 1 of 4


Let's divide the shaded area into infinitesimal
 stripes, each at distance  from the Origin, over the range . The expression for x-coordinate of centroid of area is:

                                        …(1)

Note that the stripe is limited by functions  on one end, and function  on other, so we can write distance  as:

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