Home
Class 12
PHYSICS
The moment of inertia of a thin square p...

The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through its center and perpendicular to its plane will

A

`I_1 + I_2`

B

`I_1 - I_3`

C

`I_1 + I_2+I_4`

D

`I_1 + I_2 + I_3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    MOTION|Exercise Exercise - 3 ( Section-A )|46 Videos
  • ROTATIONAL MOTION

    MOTION|Exercise Exercise - 3 ( Section-B )|24 Videos
  • ROTATIONAL MOTION

    MOTION|Exercise Exercise - 1|90 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

The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is (a) I_(1)+I_(2) , (b) I_(2)+I_(4) 2I_(1)+I_(3) , (d) I_(1)+2I_(3)

The moment of inertia of thin square plate ABCD of uniform thickness about an axis passing through the center O and perpendicular to the plane of the plate is ( i ) I_(1)+I_(2) ( ii ) I_(2)+I_(4) ( iii ) I_(1)+I_(3) ( iv ) I_(1)+I_(2)+I_(3)+I_(4) where I_(1) , I_(2) , I_(3) and I_(4) are repectively moments of inertia about axes 1 , 2 , 3 and 4 which are in the plane of the plane

The moment of inertia of a thin square plate ABCD, fig, of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is where l_1, l_2, l_3 and l_4 are respectively the moments of intertial about axis 1,2,3 and 4 which are in the plane of the plate.

The moment of inertia of a square plate of mass 4kg and side 1m about an axis passing through its centre and perpendicular to its plane is

Derive an expression for moment of inertia of a thin circular ring about an axis passing through its centre and perpendicular to the plane of the ring.

The moment of inertia of an thin circular disc about an axis passing through its center and perpendicualr to its plane, is l. Then, the moment of intertia of the disc about an axis parallel to its diameter and touching the edge of the rim is

The moment of inertia of a rod of length l about an axis passing through its centre of mass and perpendicular to rod is I . The moment of inertia of hexagonal shape formed by six such rods, about an axis passing through its centre of mass and perpendicular to its plane will be

MOTION-ROTATIONAL MOTION -Exercise - 2
  1. An ant is sitting at the edge of a rotating disc. If the ant reaches t...

    Text Solution

    |

  2. The moment of inertia of a ring of mass M and radius R about PQ axis w...

    Text Solution

    |

  3. The moment of inertia of a thin square plate ABCD of uniform thickness...

    Text Solution

    |

  4. When a mass is rotating in a plane about a fixed point, its angular mo...

    Text Solution

    |

  5. A ring of mass 10 kg and diameter 0.4 meter is rotating about its geom...

    Text Solution

    |

  6. The rotational kinetic energy of two bodies of moment of inertia 9 kg ...

    Text Solution

    |

  7. Which of the following has the highest moment of inertia when each of ...

    Text Solution

    |

  8. If the radius of gyration of a solid disc of mass 10 kg about an axis ...

    Text Solution

    |

  9. A hollow cylinder open at both ends slides without rotating, and then ...

    Text Solution

    |

  10. A particle of mass m is rotating in a plane in circular path of radius...

    Text Solution

    |

  11. A fan of moment of inertia 0.6 kg xx "metre"^2 is to run upto a worki...

    Text Solution

    |

  12. Two bodies with moment of inertia I1 and I2 (I1 gt I2) have equal angu...

    Text Solution

    |

  13. If I(1),I(2) and I(3) are the moments of inertia about the natural axi...

    Text Solution

    |

  14. A dancer on ice spins faster when she folds her arms due to

    Text Solution

    |

  15. Which quantity is not directly related with rotational motion

    Text Solution

    |

  16. Statement-I: If the earth expands in size without any change in mas, t...

    Text Solution

    |

  17. Statement-I: A body moving in a straight line parallel to Y-axis can h...

    Text Solution

    |

  18. Statement-I: When a planet is at maximum distance from the sun, its sp...

    Text Solution

    |

  19. Statement-I : When a sphere and a solid cylinder are allowed to roll d...

    Text Solution

    |

  20. Statement-I : Angular velocity is a characteristic of the rigid body a...

    Text Solution

    |