For the figure shown, determine the following.: a. coordinates of the centroid (x, y); b. moments of inertia about the x- and y-axes c. polar moment of inertia d. radii of gyration. Answers: (a) C (3.0197, 3.1747) (b) = 13395.1806 in4, I, 13567.663 in (c) J. 26962.7869 inª (d) kx= 6.5658 in, ky 6.6080, kz= 9.3153 in -- R3 022 -02"

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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.