Analyze the following statements regarding the definition and properties of the Center of Mass (CoM).
I. The center of mass of a body is a point where the entire mass of the body can be supposed to be concentrated for describing its translational motion.
II. The center of mass must always lie within the physical boundaries of the body (i.e., inside the material).
III. The position of the center of mass depends on the coordinate system chosen, but its location relative to the body remains fixed.
IV. For a body with uniform mass density, the center of mass coincides with its geometric center (centroid).
V. If a body has an axis of symmetry, the center of mass must lie on that axis.
