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The density of a rod AB increases linear...

The density of a rod AB increases linearly from A to B its midpoint is O and its centre of mass is at C. four axes pass through A, B, O and C, all perpendicular to the length of the rod. The moment of inertial of the rod about these axes are `I_(A), I_(B), I_(O)` and `I_(C)` respectively.

A

`I_(A) gt I_(B)`

B

`I_(A) lt I_(B)`

C

`I_(O) gt I_(C)`

D

`I_(O) lt I_(C)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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Knowledge Check

  • 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

    A
    `I//4`
    B
    2I
    C
    4I
    D
    3 I

  • A rod of length 2 m has a mass of 0.24 kg. Its moment of inerita about an axis passing through its centre and perpendicular to the length of the rod is

    A
    `"0.04 kg - m"^(2)`
    B
    `"0.08 kg - m"^(2)`
    C
    `"0.12 kg - m"^(2)`
    D
    `"0.02 kg - m"^(2)`

  • A rod of length 2 m, has a mass of 0.12 kg. Its moment of inertia about an axis passing through its one end and perpendicular to the length of the rod is

    A
    `"0.16 kg - m"^(2)`
    B
    `"0.12 kg - m"^(2)`
    C
    `"0.32 kg - m"^(2)`
    D
    `"0.08 kg - m"^(2)`