I'm having a hard time with these center of mass problems. The lecture that my professor gave on this wasn't very descriptive. Could someone show me the whole process of finding the center of mass? A uniform plate of height 0.720 m is cut in the form of a parabolic section. The lower boundary of the plate is defined by: y=1.600x2. Find the distance from the rounded tip of the plate to the center of mass. The fact that it is uniform means that it has the same density throughout. Since it is two-dimensional, it is a surface density, mass divided by area.