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The moment of inertia of a uniform squar...

The moment of inertia of a uniform square plate of mass M and edge length a about one of its diagonals is

A

`Ma^2`

B

`frac{1}{2}Ma^2`

C

`frac{Ma^2}{12}`

D

`frac{Ma^2}{3}`

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Knowledge Check

  • The radius of gyration of a uniform square plate of mass M and sida about its diagonal is

    A
    `a/sqrt(6)`
    B
    `a/2 sqrt(3)`
    C
    `a/2 sqrt(2)`
    D
    `a/4`

  • The moment of inertia of a uniform circular disc of mass M and of radius R about one of its diameter is

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

  • 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)`

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