---
title: "Four objects, each with total mass \\(M\\) and outer radius \\(R\\), rotate about their central axes of symmetry. The geometries of the four objects are described in the table.  | Object | Geometry | |—|—| | W | Thin-walled cylindrical shell | | X | Thin-walled spherical shell | | Y | Uniform solid cylinder | | Z | Uniform solid sphere |  Which of the following correctly ranks the rotational inertias \\(I\\) of the four objects about their respective central axes from greatest to least?"
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url: "https://nerd-notes.com/ubq/120763/"
date_modified: "2026-08-23T04:43:06+00:00"
---

# Four objects, each with total mass \(M\) and outer radius \(R\), rotate about their central axes of symmetry. The geometries of the four objects are described in the table.

| Object | Geometry |
|—|—|
| W | Thin-walled cylindrical shell |
| X | Thin-walled spherical shell |
| Y | Uniform solid cylinder |
| Z | Uniform solid sphere |

Which of the following correctly ranks the rotational inertias \(I\) of the four objects about their respective central axes from greatest to least?

Four objects, each with total mass \(M\) and outer radius \(R\), rotate about their central axes of symmetry. The geometries of the four objects are described in the table.

| Object | Geometry |
|---|---|
| W | Thin-walled cylindrical shell |
| X | Thin-walled spherical shell |
| Y | Uniform solid cylinder |
| Z | Uniform solid sphere |

Which of the following correctly ranks the rotational inertias \(I\) of the four objects about their respective central axes from greatest to least?

- **A.** \(I_W > I_Y > I_X > I_Z\)
- **B.** \(I_Z > I_Y > I_X > I_W\)
- **C.** \(I_X > I_W > I_Z > I_Y\)
- **D.** \(I_W > I_X > I_Y > I_Z\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120763/*