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Let I(1) and I(2) be the moment of inert...

Let `I_(1)` and `I_(2)` be the moment of inertia of a uniform square plate about axes `APC` and `OPO` respectively as shown in the figure.`P` is centre of square. The ratio `(I_(1))/(I_(2))` moment of inertia is -
.

A

`(1^2)/(sqrt(2))`

B

2

C

`(1)/(2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Form `_|_` axis thrown
`I_(APC) + I_(DPB) = 2I_(OPO)`.
From sysmeting `I_(APC) = I_(DPB)`
`(I_(APC))/(I_(OPO)) = 1`.
.
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Knowledge Check

  • Let I_(1) and I_(2) be the moment of inertia of a uniform square plate about axes shown in the figure. Then the ratio I_(1):I_(2) is

    A
    `1:(1)/(7)`
    B
    `1:(12)/(7)`
    C
    `1:(7)/(12)`
    D
    `1:7`

  • S. I unit of moment of Inertia is

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    Kgm,
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    `Kgm^(-1)`
    C
    `Kgm^(-2)`
    D
    `Kgm^(2)`

  • Let I_(A) and I_(B) be moments of inertia of a body about two axes A and B respectively. The axis A passes through the centre of mass of the body but B does not

    A
    `I_(A)ltI_(B)`
    B
    If `I_(A)ltI_(B)` the axes are parallel
    C
    If the axes are paralel `I_(A)ltI_(B)`
    D
    if the axes are not parallel the `I_(A)geI_(B)`

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