The mass of the homogeneous thin metal plate is 108 kg. 1. Find the coordinates of the center of mass. 2. Find the mass moment of inertia about the z-axis. 3. Find the mass moment of inertia parallel to the z-axis, but going through the center of mass. Don't forget to include the units for everything.

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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.