> ## Documentation Index
> Fetch the complete documentation index at: https://docs.ntop.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Moment of Inertia Response

Create a Design Response that measures a component of the mass moment of inertia tensor in some region. For each tensor component, the response is computed by integrating one of the following functions: I\_xx = rho \* (y^2 + z^2), l\_yy = rho \* (x^2 + z^2), I\_zz = rho \* (x^2 + y^2), I\_xy = l\_yx = - rho \* x \* y, l\_xz = I\_zx = - rho \* x \* z, l\_yz = I\_zy = - rho \* y \* z over the region, where x, y, z are the coordinates of the material point in the given reference frame, and rho is the density field.

### Inputs

| Name              | Type                                                   | Description                                                                                                                                         |
| ----------------- | ------------------------------------------------------ | --------------------------------------------------------------------------------------------------------------------------------------------------- |
| Moment of inertia | Tensor Component Enum                                  | Component of the inertial tensor.                                                                                                                   |
| Region            | [Region](../../../../block-documentation/types/region) | Region that the Design Response will be integrated over. If a region is not provided, the response will be integrated over the entire design space. |
| Frame             | [Frame](../../../../block-documentation/types/frame)   | Reference frame that the inertia tensor is defined in. If a frame is not specified, the global coordinate system will be used.                      |

### Outputs

| Type                                                                     |
| ------------------------------------------------------------------------ |
| [Design Response](../../../../block-documentation/types/design-response) |