6.2 Perpendicular axis theorem

2.1 Pure translational motion
2.2 Pure rotational motion
2.3 Plane motion

3.1 Angular velocity $\omega $
3.2 Angular acceleration $\left( \alpha \right)$
3.3 Kinematics equation for rotational motion
3.4 Analogy between translational motion & rotational motion

6.1 Parallel-axis theorem
6.2 Perpendicular axis theorem

7.1 Thin rod
7.2 Rectangular lamina
7.3 Circular ring
7.4 Circular disc
7.5 Solid cylinder
7.6 Cylindrical shell
7.7 Solid sphere
7.8 Hollow sphere
7.9 Spherical shell
7.10 Solid cone
7.11 Hollow cone
7.12 Hollow hemisphere
7.13 Parallelopiped
7.14 List of moment of inertia $(I)$ and radius of gyration $(K)$ of different bodies

The moment of inertia of a planar lamina about an axis $\left( {{I_z}} \right)$ perpendicular to its plane is equal to the sum of the moment of inertia about two perpendicular axes $\left( {{I_x}\;\& \;{I_y}} \right)$ in the plane of the lamina and passes through the point of intersection $(POI)$ of these two axes.

Mathematically, $${I_z} = {I_x} + {I_y}$$

where,

${I_x}$: Axis perpendicular to the plane

$\left( {{I_x}\;\& \;{I_y}} \right)$: Two perpendicular axes in the plane of the rectangular lamina