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Inertia

The inertia of a body may be defined as that property of a body which tends to resist a change in its state of rest or motion.

Mass is defined as a quantitative measure of inertia.

Moment of Inertia of Areas

where,

I_x=moment of inertia of cross-sectional area about X-axis

I_y=moment of inertia of cross-sectional area about Y-axis

I_z=moment of inertia of cross-sectional area about Z-axis.

Moment of inertia of areas

Mass moment of inertia (I_m) of a body is given by:

Mass moment of inertia for different shapes of body

Rectangle

Triangle

Circle

Ellipse

Circular Cylindrical Shell

Right Circular Cylinder

Sphere

Semicylinder

Hemisphere

Rectangular Parallelopiped

Uniform Slender Rod

Right Circular Cone

Elliptical Cylinder

Hemispherical Shell

Torus (complete)

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