CALC Use the methods of Challenge .115 to calculate the x-

Chapter 8, Problem 8.116

(choose chapter or problem)

Use the methods of Challenge Problem 8.115 to calculate the x- and y-coordinates of the center of mass of a semi-circular metal plate with uniform density \(\rho\) and thickness t. Let the radius of the plate be a. The mass of the plate is thus \(M=\frac{1}{2} \rho \pi a^{2} t\). Use the coordinate system indicated in Fig. P8.116.

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