Find the moment of inertia of a uniform disk about axis through its center and perpendicular to the plane of the disk solution dm o 2n rdr J=∫rdm=2mo∫r J=2ra"rdr πoR41 2Find the moment of inertia of a uniform disk about axis through its center and perpendicular to the plane of the disk solution: o r dr R dm 2 rdr J r dm2 r dr 3 2 R J r dr 0 3 2 2 4 2 1 2 mR R