Parallel axis theorem equation

What is meant by parallel axis theorem?

The parallel axis theorem, also known as Huygens–Steiner theorem, or just as Steiner’s theorem, named after Christiaan Huygens and Jakob Steiner, can be used to determine the moment of inertia or the second moment of area of a rigid body about any axis, given the body’s moment of inertia about a parallel axis through

Where do you put the parallel axis theorem?

you generally use that theorem when you know moment of inertia about an axis and are willing to know moment of inertia of an axis parallel to the axis known then this parallel axis theorem is used .

What is perpendicular and parallel axis theorem?

This theorem states that the moment of inertia of a planar body about an axis perpendicular to its plane is equal to the sum of its moments of inertia about two perpendicular axes concurrent with the perpendicular axis and lying in the plane of the body.

Is the axis parallel to the equator?

The Equator is the circle passing through the center of the earth. It is perpendicular to the axis and goes on to divide the earth into two Hemispheres, the Northern and the Southern.

What is the unit of radius of gyration *?


How do I calculate inertia?

Calculate the rotational inertia or the moment of inertia by multiplying the mass of the object with square of the distance between the object and the axis, the radius of rotation.

What is minimum moment of inertia?

Moment of inertia(I) is more dependent on the mass(M) of the object and the radius of gyration(k). If the radius of gyration is small, the moment of inertia is minimum. If the center of mass passes through the axis of rotation, it further reduces the radius of gyration.

What is D in moment of inertia?

d is the perpendicuar distance between the centroidal axis and the parallel axis. Page 7. Parallel Axis Theorem – Derivation. • Consider the moment of inertia I. x.

How do you find the neutral axis?

However, in general, if you want to find the neutral axis of a beam you would have to look at its cross section and find the center of inertia. This is given that the beam is simply supported or articulated on both ends, its cross section is the same along its entire lenght and its under flexural stress.

What does angular momentum mean?

Scientific definitions for angular momentum. angular momentum. [ ăng′gyə-lər ] A measure of the momentum of a body in rotational motion. The angular momentum of rigid bodies is conserved; thus, a spinning sphere will continue to spin unless acted on by an outside force.

What are the two theorems of moment of inertia?

Two theorems of moment of inertia are theorem of parallel axes and theorem of perpendicular axes.

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