Mechanics Homework 708 - Centroid and area of spandrel by integration Name_______________

Compute the area of the spandrel in Fig. P-708 bounded by the \(x\) -axis, the line \(x = b\), and the curve \(y = kx^n\) where \(n ≥ 0\). What is the location of its centroid from the line \(x = b\)? Determine also the \(y\) coordinate of the centroid.

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\(A = \dfrac{bh}{n + 1}\)

\(\bar{x} = \dfrac{b}{n + 2}\)

\(\bar{y} = \dfrac{n + 1}{4n + 2}h\)