Consider the beam's cross-sectional area shown in (Figure 1). Suppose that a = 3 in., b = 4 in. , and c = 1 in. Pt A. Determine the distance y¯to the centroid of the beam's cross-sectional area. Pt B. Determine the moment of inertia about the centroidal x′ axis.

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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.