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Find the M.I. of thin uniform rod of mas...

Find the `M.I.` of thin uniform rod of mass `M` and length `L` about the axis as shown.

A

B

C

D

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The correct Answer is:
C
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Calculate the moment of inertia of a uniform rod of mass M and length l about an axis passing through an end and perpendicular to the rod. The rod can be divided into a number of mass elements along the length of the rod.

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Knowledge Check

  • The M.I. of thin uniform rod of mass 'M' and length 'l' about an axis passing through its centre and perpendicular to its length is

    A
    `Ml^(2)`
    B
    `Ml^(2)//3`
    C
    `Ml^(2)//2`
    D
    `Ml^(2)//12`

  • 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 thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is I_0 . Its moment of inertia about an axis passing through one of its ends perpendicular to its length is.

    A
    `I_0 + ML^2//4`
    B
    `I_0 + 2 ML^2`
    C
    `I_0 + ML^2`
    D
    `I_0 + ML^2//2`

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