Four particles with a mass of 1 kg, 2 kg, 3 kg and 4 kg are situated at the corners of a square with side 1 m (as shown in the figure). The moment of…

Four particles with a mass of $\displaystyle 1 \mathrm{~kg}, 2 \mathrm{~kg}, 3 \mathrm{~kg}$ and $\displaystyle 4$ kg are situated at the corners of a square with side $\displaystyle 1$ m (as shown in the figure). The moment of inertia of the system, about an axis passing through the point O and perpendicular to the plane of the square, is \_\_\_\_ $\displaystyle \mathrm{kg} \mathrm{m}^2$.