For a symmetrical T-section, the moment of inertia through centroidal axes in its plane parallel to the flange Ixx = 2 × 107 mm4, and perpendicular to the flange is Iyy = 1.5 × 107 mm4. The moment of inertia about the centroidal axis normal to the planar area works out to (in mm4):

Determine the mass moment of inertia of three identical uniform rods (each of mass m and length l) arranged to form an equilateral triangle, about an axis perpendicular to the plane of the triangle and passing through its centroid.

Determine the mass moment of inertia of three identical rods (each of mass m and length l) arranged to form an equilateral triangle, about an axis perpendicular to the plane of the triangle and passing through its centroid.