The moment of inertia of rod with its mass distributed uniformly and a perpendicular axis through one of its ends (its length 1) Solution: J=x'dm dm=pds m dm 0 I m The moment of inertia of rod with its mass distributed uniformly and a perpendicular axis through one of its ends (its length l) o x z dx dm x J x dm2   Solution: dx l m dm   dx  l l x l m dx l m J x 0 3 0 2 3 1     2 3 1 J  ml