-12 points BauerPhys2 8.P.069. My Notes Ask Your Teacher A sculptor has commissi

Question

-12 points BauerPhys2 8.P.069. My Notes Ask Your Teacher A sculptor has commissioned you to perform an engineering analysis of one of his works, which consists of regularly shaped metal plates of uniform thickness and density, welded together as shown in the figure. Using the intersection of the two axes shown as the origin of the coordinate system, determine the Cartesian coordinates of the center of mass of this piece. (Use the following variable as necessary: a.) 2a 2a 2a Additional Materials Section 8.1

Explanation / Answer

Center of mass in the x direction,
Xcm = 1.5 a

Take d as the mass per unit area per unit thickness
Mass of square = 4a2 x d
Mass of circular plate = pi x a2 x d
Ycm = [a x (4a2 x d) + 3a x ( pi x a2 x d)] / (4a2 x d + pi x a2 x d) = 1.88 a

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