1. The problem statement, all variables and given/known data The thin rod shown has a length L = 100 cm, and a density that varies from 26 g/cm at the origin to 3 g/cm at the far end. Determine a) the moment of inertia about axis 1 (passing through the center of mass of the rod), and b) the moment of inertia about axis 2 (passing through the heavy end of the rod). picture attached 2. Relevant equations I already found Mass of rod = 1.45*10^3 g Center of mass of rod = 36.8 cm from the more dense end The density as a function of position I found to be: ρ(x)=.23x + 3 3. The attempt at a solution For the first part: I used I = ∫ r^2 * m/L dr where -36.8 < r < 63.2 and got 1.46*10^6 g*cm^2 For the second part I know it has to do with the parallel axis theorem: I = I_cm+mh^2 where h = 36.78 cm and got 3.4*10^6 but that's not right. Any ideas?