Question
Asked Nov 22, 2019
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Locate the centroid y¯ of the shaded area. (Figure 1)
Express your answer in terms of some or all of the variables a, b, and h.
a
y-
-b)
h
x
b
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a y- -b) h x b

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Expert Answer

Step 1

From the sketch:

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a-b y +b h a , x2

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Step 2

Area of the element selected: 

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Differential element: a-b dA (x-x)dy y+ h dy dA =b- dy

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Step 3

Centroid can be c...

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2 b =-y+ 2h b y y + 2h b а h 2

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