Home
Class 12
PHYSICS
The moment of inertia of a thin uniform ...

The moment of inertia of a thin uniform rod of mass `M` and length `L` about an axis passing through its mid-point and perpendicular to its length is`I_0`. Its moment of inertia about an axis passing through one of its ends perpendicular to its length is.

A

`I_0 + ML^2`

B

`I_0 + ML^(2)//2`

C

`I_0 + ML^(2)//4`

D

`I_0+2ML`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    MOTION|Exercise Exercise - 3 ( Section-B )|24 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

The M.I. of thin uniform rod of mass 'M' and length 'l' about an axis passing through its centre and perpendicular to its length is

The moment of inertia of a thin uniform rod about an axis passing through its centre and perpendicular to its length is I_(0) . What is the moment of inertia of the rod about an axis passing through one end and perpendicular to the rod ?

The moment of inertia of thin rod of linear density lambda and length l about an axis passing through one end and perpendicular to its length is

The moment of inertia of a cube of mass M and edge length a about an axis passing through one of its edge is

Moment of inertia of a uniform rod of length L and mass M , about an axis passing through L//4 from one end and perpendicular to its length is

Moment of inertia of a thin rod of mass m and length l about an axis passing through a point l/4 from one end and perpendicular to the rod is

The radius of gyration of an uniform rod of length l about an axis passing through one of its ends and perpendicular to its length is.

The moment of inertia of a thin uniform rod of mass M, length L, about an axis passing through its centre and making an angle theta with the rod is

MOTION-ROTATIONAL MOTION -Exercise - 3 ( Section-A )
  1. From a circular disc of radius R and mass 9 M , a small disc of radius...

    Text Solution

    |

  2. A solid cylinder and a hollow cylinder, both of the same mass and same...

    Text Solution

    |

  3. The moment of inertia of a thin uniform rod of mass M and length L abo...

    Text Solution

    |

  4. The instantaneous angular position of a point on a rotating wheel is g...

    Text Solution

    |

  5. A small mass attached to a string rotates on a frictionless table top ...

    Text Solution

    |

  6. The instantaneous angular position of a point on a rotating wheel is g...

    Text Solution

    |

  7. Two persons of masses 55 kg and 65 kg respectively are at the opposite...

    Text Solution

    |

  8. O is the centre of an equilateral triangle ABC. F(1), F(2) and F(3) ar...

    Text Solution

    |

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

    Text Solution

    |

  10. The moment of inertia of a uniform circular disc is maximum about an a...

    Text Solution

    |

  11. A circular platform is mounted on a frictionless vertical axle. Its ra...

    Text Solution

    |

  12. Three masses are placed on the x-axis : 300 g at origin. 500 g at x = ...

    Text Solution

    |

  13. A thin hollow sphere of mass m is completely filled with a liquid of m...

    Text Solution

    |

  14. Assertion (A) Two circular discs of equal mass and thickness made of d...

    Text Solution

    |

  15. A rod of weight w is supported by two parallel knife edges A and B an...

    Text Solution

    |

  16. A mass m moves in a circles on a smooth horizontal plane with velocity...

    Text Solution

    |

  17. Three idential spherical shells each of mass m and radius r are placed...

    Text Solution

    |

  18. From a disc of radius R and mass m, a circular hole of diamter R, whos...

    Text Solution

    |

  19. A uniform circular disc of radius 50 cm at rest is free to turn about ...

    Text Solution

    |

  20. A disc and a solid sphere of same radius but different masses roll off...

    Text Solution

    |