Different rigid bodies have different values of the moment of inertia and hence different formulas to calculate it. Also, the Moment of Inertia in a body depends upon the axis of rotation. So here is a table of moment of inertia in different bodies depending upon the axis of rotation.

S.N | Rigid Body | axis of rotation | Moment of Inertia |
---|---|---|---|

1. | thin rod | perpendicular to its plane and passing through a center | |

2. | thin rod | perpendicular to its plane and passing through one end | |

3. | circular ring | perpendicular to its plane and passing through a center | |

4. | circular ring | about any diameter | |

5. | circular ring | in a plane about any tangent | |

6. | circular disk | perpendicular to its plane and passing through a center | |

7. | circular disk | about any diameter | |

8. | circular disk | about any tangent in a plane | |

9. | rectangular lamina | perpendicular to its plane and passing through its center | |

10 | rectangular lamina | axis along the edge of the length | |

11. | solid sphere | through its center | |

12. | solid sphere | about any tangent | |

13. | hollow sphere | through its center | |

14. | hollow sphere | about any tangent | |

15. | solid cylinder | about any symmetry axis | |

16. | hollow cylinder | about its axis |