For the figure shown. A. Which of the following most nearly gives the coordinates of the centroid of the section? B. Which of the following most nearly gives the centroidal moments of inertia?

Q: Determine the moments of inertia of the shaded area about the x and y axes.

A:

Q: Calculate the polar moment of inertia of the shape.

A:

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.