## College Physics (4th Edition)

The coordinates of the center of mass are $(5.0~cm, 6.7~cm)$
We can find coordinates of the center of mass for each of the three sides: We can find the center of mass of the side on the left: $x = 0$ $y = \frac{10.0~cm}{2} = 5.0~cm$ We can find the center of mass of the side on the right: $x = 10.0~cm$ $y = \frac{10.0~cm}{2} = 5.0~cm$ We can find the center of mass of the section at the top: $x = \frac{10.0~cm}{2} = 5.0~cm$ $y = 10.0~cm$ Let $M$ be the mass of each side. We can find the coordinates for the center of mass: $x_{com} = \frac{M(0)+M(10.0~cm)+M(5.0~cm)}{3m} = 5.0~cm$ $y_{com} = \frac{M(5.0~cm)+M(5.0~cm)+M(10.0~cm)}{3m} = 6.7~cm$ The coordinates of the center of mass are $(5.0~cm, 6.7~cm)$.