The parallel axis theorem provides a convenient relationship between the moment of inertia I S around an arbitrary point S and the moment of inertia I R about the center of mass R.

May 3, 2023 · This equation says that you find the moment of inertia of a shape about any axis by adding A d 2 to the parallel centroidal moment of inertia. You can consider the A d 2 term as …

Dec 2, 2025 · The Parallel Axis Theorem is used to interpret the moment of inertia (I) for any axis parallel to the axis through the center line used to calculate the moment of inertia by using the …

This equation says that you find the moment of inertia of a shape about any axis by adding A d 2 to the parallel centroidal moment of inertia. You can consider the A d 2 term as ‘correction factor’ to …

Jul 23, 2025 · Parallel axis theorem states that the moment of inertia of a rigid body about any axis parallel to its centroidal axis is equal to the sum of the body's moment of inertia about its centroidal …

To begin with, the parallel axis theorem is equal to the inertia about the center of mass (I cm) plus the distance between the axes of rotation squared times the mass.

In many cases, the moment of inertia about an axis, particularly an axis passing through the centroid of a common shape, is known (or relatively easier to calculate) and the moment of inertial of the area …

Jun 27, 2025 · But in real life, we often rotate objects around a different axis, like the end of a rod or the edge of a disc. This is where the Parallel Axis Theorem becomes super useful. The Parallel Axis …

The parallel axis theorem is the method to find the moment of inertia of the object about any axis parallel to the axis passing through the centroid. This theorem is applicable for the mass moment of inertia …

The formula for the parallel axis theorem is expressed as: $$ I = I_ {cm} + Md^2 $$, where $$ I $$ is the moment of inertia about the new axis, $$ I_ {cm} $$ is the moment of inertia about the center of …