Home
Class 11
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 perpendicular to the rod, through its centre is `I`. The moment of inertia of the rod about an axis perpendicular to rod through its end point is

A

`I/4`

B

`I/2`

C

`2I`

D

`4I`

Text Solution

Verified by Experts

The correct Answer is:
D
`I=(ML^(2))/12, I=I_(CM)+M(L/2)^(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level -II(H.W)|47 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-V|72 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise NCERT based questions|15 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 rod of mass M and length L about an axis perpendicular to the rod at a distance L/4 from one end is

The moment of inertia of a thin rod of mass M and Length L. about an axis perpendicular to the rod at a distance (L)/(4) from one end is

Knowledge Check

  • The moment of inertia of a thin uniform rod of mass M and length l about an axis perpendicular to the rod through its centre is I. The moment of inertia of the rod through its end point is

    A
    `(I)/(4)`
    B
    `(I)/(2)`
    C
    `2I`
    D
    `4I`

  • Moment of inertia of a thin rod of mass 'M' and length 'L' about the axis perpendicular to the rod and passing through its centre is ............

    A
    `ML^(2/4)`
    B
    `ML^(2/6)`
    C
    `ML^(2/(12))`
    D
    `ML^(2/2)`

  • Moment of inertia of a rod of mass 'M', length ? about an axis perpendicular to it through one end is,

    A
    `(Ml^2)/(2)`,
    B
    `(Ml^2)/(3)`
    C
    `(Ml^2)/(12)`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is

    Calculate the moment of inertia of a rod of mass M, and length l about an axis perpendicular to it passing through one of its ends.

    What is the moment of inertia of a rod of mass M and length L about an axis perpendicular to it through one end ? Given the moment of inertia about the centre of mass is- 1/12ML2

    If I_(1) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mas and I_(2) is the moment of inertia of the ring about an axis perpendicular to plane of ring and passing through its centre formed by bending the rod, then

    Moment of inertia of a thin uniform rod about an axis passing through one end perpendicular to its length is I . Then moment of inertia the same rod about the central axis perpendicular to its plane is

    Home
    Profile