X₂ Find the moments of inertia Ix, ly, lo for a lamina that occupies the part of the disk ² + 1² VI < 16 in the first quadrant if the density at any point is proportional to the square of its distance from the origin. (Assume that the coefficient of proportionality is k.)

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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.