According to Routh’s law, the moment of inertia for a spherical body about any one axis passing through its center of gravity is given by:
(where A= Area of the plane, M= Mass of the body and S= Sum of the squares of two semi-axis)
1
\(I=\frac{A(or M)x\ S}{3}\)
2
\(I=\frac{A(or M)x\ S}{5}\)
3
\(I=\frac{A(or M)x\ S}{4}\)
4
\(I=\frac{A(or M)x\ S}{2}\)