The mass moment of inertia of the following bodies will be determined by the method of integration:

- Mass moment of inertia of a rectangular plate,
- Mass moment of inertia of a circular plate.
- Mass moment of inertia of a hollow circular cylinder.
- Mass moment of inertia of a right circular cone of base radius R, height H and mass M about its axis.

**4.15.1. Mass Moment of Inertia of a ****Rectangular ****Plate **

(a) **Mass moment of inertia of a rectangular plate ****about X-X ****axis passing ****through
**

**the C.G. of the**

**plate**.

Fig. 4.44 shows a rectangular plate of width b, depth ‘d’ and uniform thickness ‘t’. Consider a small element of width ‘b’ at a distance ‘y’ from X-X axis as shown in

Fig. 4.45.

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