What Is the Parallel Axis Theorem?

The parallel axis theorem can easily calculate the moment of inertia of a rigid body with respect to another straight axis parallel to the centroid axis from the moment of inertia of the rigid body with respect to a straight axis (centroid axis) passing through the center of mass. [1]

The parallel axis theorem can be easily obtained from
The parallel axis theorem can be very simple, from a coordinate system with a centroid as the origin.
Consider the inertia tensor of a solid cuboid for the center of mass G,
The position of the center of mass G is
. According to the parallel axis theorem, the moment of inertia and product of inertia of a solid cuboid for point O are
,
,
,
,
,
.
Therefore, the inertia tensor of a solid cuboid for point O is:

IN OTHER LANGUAGES

Was this article helpful? Thanks for the feedback Thanks for the feedback

How can we help? How can we help?

RELATED ARTICLES