I hope someone can point me in the right direction on how to solve this, and hopefully I can explain it properly. Given a rod with a known length, mass and center of mass, how can I find the linear density at a given location (x) along the length of the rod. I want to say 'instantaneous' density at location 'x', but not sure if that's the correct term. My question is for the case where the center of mass is not at the center of the rod, so the linear density is non-uniform, but the change in density from one end of the rod to the other is linear, if that makes sense. My goal is to represent a mass as a distribution along a length by calculating the linear density at the two end points. Thanks in advance for any help.