5. We are given a symmetric lamina of mass M consisting of a square shape with a semicircular section over each edge of the square as in figure-9. The side of the square is given 2a.The moment of inertia of the lamina about an axis through its center of m
Using perpendicular axis theorem-
Ix=Iy
2Ix= 1.6 Ma2
-
Ix=0.8Ma2
IAB=Ix+M(2a)2=4.8Ma2