Home
Class 12
PHYSICS
Figure shows the variation of the moment...

Figure shows the variation of the moment of inertia of a uniform rod, about an axis passing through itss centre and inclined at an angle `theta` to the length. The moment of inertia of the rod about an axis passing through one of its ends and making an angle `theta=(pi)/(3)` will be

A

`0.45 kg-m^(2)`

B

`1.8 kg-m^(2)`

C

`2.4 kg-m^(2)`

D

`1.5 kg-m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the moment of inertia of ring about an axis passing through the centre and perpendicular to its plane.

Find the moment of inertia of a uniform circular disc about an axis passing through its geometrical centre and perpendicular to its plane and radius of gyration.

Knowledge Check

  • The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is I_(0) . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is .............

    A
    `I_(0)+(ML^(2))/(2)`
    B
    `I_(0)+(ML^(2))/(4)`
    C
    `I_(0)+2ML^(2)`
    D
    `I_(0)+ML^(2)`

  • The moment of inertia of a disc of uniform density about on axis coinciding with its diameter ……..

    A
    `(2)/(5)MR^(2)`
    B
    `MR^(2)`
    C
    `(1)/(4)MR^(2)`
    D
    `(1)/(2)MR^(2)`

  • If I_(1) is the moment of inertia of a uniform rod about an axis perpendicular to its length and passing through its one end. Now ring formed by bending the rod, if the moment of inertia about the diameter of ring I_(1) then (I_(1))/(I_(2)) = ……….

    A
    `(pi^(2))/(3)`
    B
    `(2pi^(2))/(3)`
    C
    `(4pi^(2))/(3)`
    D
    `(8pi^(2))/(3)`

    • Similar Questions

    Explore conceptually related problems

    Find the moment of inertia of thin and massless rod about an axis passing through its centre of mass of rod and pair of mass is suspended on both end of this rod.

    What is the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end?

    What is the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end?

    Prove that moment of inertia of uniform ring of mass M and radius R about its geometric axis is MR^(2)

    The moment of inertia of a uniform cylinder of length l and radius R about its perpendicular bisector is I . What is the ratio l//R such that the moment of inertia is minimum ?

    Home
    Profile