What is the difference between principal moment of inertia and moment of inertia?

The moment of inertia, denoted I, is the rotational equivalent of mass: it is proportional to the amount of torque required for a given angular acceleration. For the sake of convenience,principal moments of inertia are defined, which correspond to the moments of inertia about the x, y, and z axes in the body frame.

What is principal axes of moment of inertia?

Principle axis of moment of inertia is the axis passing through centroid or centre of gravity of body. The moment of inertia of a figure about a line is the sum of the products formed by multiplying the magnitude of each element (of area or of mass) by the square of its distance from the line.

What do you mean by principal axes?

principal axis. noun. the line passing through the optical centre and centres of curvature of the faces of a lens or a curved mirror. any of three mutually perpendicular axes about which the moment of inertia of a body is maximum.

What is the difference between area and mass moment of inertia?

Mass moment of inertia is defined as the resistance offered by the body to rotate due to its own mass. Inertia for such bodies is taken about the axis of rotation. Area moment of inertia. Area moment of inertia is defined as the resistance offered by an object either to bend or to deflect.

What is the importance of principal moment of inertia?

The physical significance of the moment of inertia is similar to the mass in the translational motion. In translational motion, the mass of a body is used for measuring the inertia. As the mass increases, inertia becomes larger. The force required for producing the linear acceleration will also increase.

What is principal axis and principal focus?

The principal axis of a lens is a line passing through the optical centre of the lens and perpendicular to both the faces of the lens. The principal focus of a convex lens is a point on its principal axis to which light rays parallel to the principal axis converge after passing through the lens.

What is meant by Principal moment?

Definition of principal moment : one of the three moments of inertia of a body about its principal axes of inertia at a given point.