Home
Class 11
PHYSICS
The moment of inertia of thin rod of lin...

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

A

`(lambdal^(2))/12`

B

`(lambdal^(2))/3`

C

`(lambdal^(3))/12`

D

`(lambdal^(3))/3`

Text Solution

Verified by Experts

The correct Answer is:
D
`lambda=M/L, I=(ML^(2))/3=(lambdaL^(3))/3`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-V|72 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level -I(H.W)|58 Videos

  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

Similar Questions

Explore conceptually related problems

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.

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

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

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

find the radius of gyration of a rod of mass m and length 2l about an axis passing through one of its eneds and perpendicular to its length.

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.

Calculate the moment of inertia of a uniform rod of mass M and length l about an axis passing through an end and perpendicular to the rod. The rod can be divided into a number of mass elements along the length of the rod.

Find the moment of inertia of a cylinder of mass M , radius R and length L about an axis passing through its centre and perpendicular to its symmetry axis. Do this by integrating an elemental disc along the length of the cylinder.

NARAYNA-SYSTEM OF PARTICLES-Level -II(H.W)
  1. M.I. of a uniform horizontal solid cylinder of mass M about an axis pa...

    Text Solution

    |

  2. A circular disc of radius R and thickness R//6 has moment of inertia I...

    Text Solution

    |

  3. The moment of inertia of ring about an axis passing through its diamet...

    Text Solution

    |

  4. A thin rod of mass 6 m and length 6L is bent into regular hexagon. The...

    Text Solution

    |

  5. If I(1) is moment of inertia of a thin rod about an axis perpendicular...

    Text Solution

    |

  6. The moment of inertia of thin rod of linear density lambda and length ...

    Text Solution

    |

  7. Moment of inertia of a bar magnet of mass M,length L and breadth B is...

    Text Solution

    |

  8. A circular disc is rotating without friction about its natural axis wi...

    Text Solution

    |

  9. A ballot dancer is rotating about his own vertical axis on smooth hori...

    Text Solution

    |

  10. A particle of mass 1 kg is moving alogn the line y=x+2 with speed 2m//...

    Text Solution

    |

  11. A uniform metal rod of length L and mass M is rotating about an axis p...

    Text Solution

    |

  12. A fly wheel of M.I. 6xx10^(-2) kgm^(2) is rotating with an angular vel...

    Text Solution

    |

  13. When 200 J of work is done on a fly wheel its frequency of rotation in...

    Text Solution

    |

  14. The moment of inertia of a wheel of radius 20 cm is 40 kgm^(2) if a ta...

    Text Solution

    |

  15. An initial momentum is imparted to a homogenous cylinder, as a results...

    Text Solution

    |

  16. A solid cylinder starts rolling down on an inclined plane from its top...

    Text Solution

    |

  17. A wheel of radius 0.2 m rolls without slip ping with a speed 10 m//s o...

    Text Solution

    |

  18. A thin metal rod of length 0.5 m is vertically straight on horizontal ...

    Text Solution

    |

  19. What is the minimum value of coefficient of friction between the cylin...

    Text Solution

    |

  20. A thin metal disc of radius 0.25m and mass 2kg starts from rest and ro...

    Text Solution

    |