A circular disc of radius 0.5 m and mass 25 kg is rotating about its own central axis. The moment of inertia of the disc is:

Two solid spheres A and B have the same radius R, but their densities vary with radial distance r from the center as ρA(r) = k(r/R) and ρB(r) = k(r/R)5, where k is a constant. The moments of inertia of the two spheres about their respective centers are IA and IB. If the ratio IB/IA = n10, find the value of n.

Find the moment of inertia of a uniform thin rod of mass m and length l about an axis perpendicular to the rod and passing through a point at a distance of l4 from its center.