Home
Class 12
PHYSICS
Find the moment of Inertia of a cuboid a...

Find the moment of Inertia of a cuboid along the axis as shown in the figure.

Text Solution

Verified by Experts

After compressing the cuboid parallel to the axis I
` = (M(a^2 +b^2))/12`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    MOTION|Exercise Exercise - 1|90 Videos
  • ROTATIONAL MOTION

    MOTION|Exercise Exercise - 2|40 Videos
  • RAY OPTICS

    MOTION|Exercise Exercise-4|38 Videos
  • SEMI CONDUCTOR AND LOGIC GATES

    MOTION|Exercise EXERCISE 3|34 Videos

Similar Questions

Explore conceptually related problems

Find the moment of inertia of the rod AB about an axis yy as shown in figure. Mass of the rod is m and length is l.

Find the moment of inertia of a hemisphere of mass M and radius R shown in the figure, about an axis A A' tangential to the hemisphere.

Find the moment of inertia of a hemisphere of mass M shown in figure - 5.28 , about an axis AA' passing through its centre of mass . [[(83)/(320)MR^(2)]]

A uniform disc of radius R=20cm has a round cut as shown in figure. The mass of the remaining (shaded) portion of the disc equals m=7.3kg . Find the moment of inertia of such a disc relative to the axis passing through its centre of inertia and perpendicular to the plane of the disc.

A uniform semicircular disc of mass 'm' and radius 'R' is shown in the figure. Find out its moment of inertia about. (a) axis 'AB' ( shown in the figure 0 which passes through geometrical centre and lies in the plane of the disc (b) axis 'CD' which passes through its centre of mass and it is perpendicular to the plane of the disc.

Three rings, each of mass m and radius r , are so placed that they touch each other. Find the moment of inertia about the axis as shown in Fig.

MOTION-ROTATIONAL MOTION -Exercise - 3 ( Section-B )
  1. Find the moment of Inertia of a cuboid along the axis as shown in the ...

    Text Solution

    |

  2. A 'T' shaped object with dimensions shown in the figure, is lying on a...

    Text Solution

    |

  3. The moment of inertia of a uniform semicircular disc of mass M and rad...

    Text Solution

    |

  4. A thin circular ring of mass m and radius R is rotating about its axis...

    Text Solution

    |

  5. Four point masses, each of value m, are placed at the corners of a squ...

    Text Solution

    |

  6. A coin is placed on a horizontal platform which undergoes vertical sim...

    Text Solution

    |

  7. A force of - F hat k on O, the origin of the coordinate system. The to...

    Text Solution

    |

  8. Angular momentum of the particle rotating with a central force is con...

    Text Solution

    |

  9. A round uniform body of radius R, mass M and moment of inertia 'I' rol...

    Text Solution

    |

  10. For the given uniform square lamina ABCD, whose centre is O

    Text Solution

    |

  11. A circular disc of radius R is removed from a bigger circular disc of ...

    Text Solution

    |

  12. Consider a uniform square plate of side 'a' and mass 'm'. The moment o...

    Text Solution

    |

  13. A thin uniform rod of length l and mass m is swinging freely about a h...

    Text Solution

    |

  14. A pulley os radius 2m is rotated about its axis by a force F= (20 t- ...

    Text Solution

    |

  15. A thin horizontal circular disc is roating about a vertical axis passi...

    Text Solution

    |

  16. A hoop of radius r and mass m rotating with an angular velocity omega0...

    Text Solution

    |

  17. A bob of mass m attached to an inextensible string of length I is susp...

    Text Solution

    |

  18. A mass 'm' is supported by a massless string wound around a uniform ho...

    Text Solution

    |

  19. A block of mass is placed on a surface with a vertical cross section g...

    Text Solution

    |

  20. From a solid sphere of M and radius R a cube of maximum possible volu...

    Text Solution

    |

  21. A roller is made by joining together two cones at their vertices O, ti...

    Text Solution

    |