1. The problem statement, all variables and given/known data I need to derive the moment of inertia of a thin rod with its axis of rotation at the end of the rod. http://en.wikipedia.org/wiki/List_of_moments_of_inertia The third one. 2. Relevant equations I = mr^2 3. The attempt at a solution I completely understand how the moment of inertia is mL^2/3, but what I don't understand is why linear density is used. M/L. Shouldn't it be volume density, or area density at the very least since a thin rod is 3D?