Determine the moments of inertia and the product of inertia of the shaded area in the figure with respect to new centroidal axes obtained by rotating the x andy axes 30° counterclockwise. Also, determine the maximum and minimum moments of inertia of the area. - 60 mm-- 60 mm- 40 mm 40 mm (Ans. k =2.12 x 10s mm4, . ly=8.28 x 10 mm Py = -0.532 x 10s mm4)

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Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.