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The moment of inertia of a door of mass ...

The moment of inertia of a door of mass `m`, length `2 l` and width `l` about its longer side is.

A

`(11ml^(2))/(24)`

B

`(5ml^(2))/(24)`

C

`(ml^(2))/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`I_(2)=(ml^(2))/(3)`.
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Knowledge Check

  • 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 ?

    A
    `1`
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    `(3)/(sqrt(2))`
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    D
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    A
    `2/3`
    B
    `3/2`
    C
    `sqrt(2/3)`
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    `sqrt(3/2)`

  • The moment of inertia of a cube of mass m and side a about one of its edges is equal to

    A
    `(2)/(3) ma^(2)`
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