## College Physics (4th Edition)

The x-coordinate of the center of mass is $21.2~cm$
We can find the x-coordinate of the center of mass of each of the three objects: sphere: mass: $200 ~g$ center of mass: $x = 5~cm$ cylinder: mass: $450 ~g$ center of mass: $x = 18.5~cm$ rectangular solid: mass: $325 ~g$ center of mass: $x = 35~cm$ We can find the x-coordinate of the center of mass: $x_{com} = \frac{(200~g)(5~cm)+(450~g)(18.5~cm)+(325~g)(35~cm)}{200~g+450~g+325~g}$ $x_{com} = \frac{20,700~g~cm}{975~g}$ $x_{com} = 21.2~cm$ The x-coordinate of the center of mass is $21.2~cm$