Symmetric Inertia Tensor

Create inertia tensor from moments and products of inertia

Library

Mass Properties

Description

The Symmetric Inertia Tensor block creates an inertia tensor from moments and products of inertia. Each input corresponds to an element of the tensor.

The inertia tensor has the form of

$$Inertia=\left[\begin{array}{lll}{I}_{xx}\hfill & -I_{xy}\hfill & -I_{xz}\hfill \\ -I_{xy}\hfill & I_{yy}\hfill & -I_{yz}\hfill \\ -I_{xz}\hfill & -I_{yz}\hfill & I_{zz}\hfill \end{array}\right]$$

Inputs and Outputs

Input	Dimension Type	Description
First		Contains the moment of inertia about the x-axis.
Second		Contains the product of inertia in the xy plane.
Third		Contains the product of inertia in the xz plane.
Fourth		Contains the moment of inertia about the y-axis.
Fifth		Contains the product of inertia in the yz plane.
Sixth		Contains the moment of inertia about the z-axis.

Output	Dimension Type	Description
First		Contains a symmetric 3-by-3 inertia tensor.