A uniform rectangular plate of length B = 18 cm and height A = 36 cm has a rectangular corner cut out of it of length D = 9 cm and height C = 5 cm. The plate is made of a material of area mass density σ. For this problem we set the origin at the lower left corner of the plate with the x-axis horizontal pointing right and the y-axis vertical pointing up.
Part (a) Calculate the value of the y-coordinate, in centimeters, for the center of mass of the plate.
Part (b) Calculate the value of the x-coordinate, in centimeters, for the center of mass of the plate.