The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of mass. If the object has density p(a, y, z) at the point (, y, 2) and occupies a region W, then the coordinates (c, y, z) of the center of mass are given by apdV y yp dV Z zp dV, m JW m W m W where m = [up dV is the total mass of the body. Consider a solid is bounded below by the square z = 0, 0