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{:((1),"Moment of Inertia of an Uniform ...

`{:((1),"Moment of Inertia of an Uniform Rod",(a),(2)/(5) MR^(2)),((2),"Moment of Inertia of an Uniform Ring",(b),(1)/(2)MR^(2)),((3),"Moment of Inertia of an Uniform Disc",(c),(1)/(12) Ml^(2)),((4),"Moment of Inertia of an Uniform solid sphere",(d),I = MR^(2)):}`

A

`{:((1),(2),(3),"(4)"),(c,d,b,a):}`

B

`{:((1),(2),(3),"(4)"),(d,c,b,a):}`

C

`{:((1),(2),(3),"(4)"),(b,c,d,a):}`

D

`{:((1),(2),(3),"(4)"),(d,a,b,c):}`

Text Solution

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The correct Answer is:
a
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Derive an expression for moment of inertia of a uniform ring and uniform disc.

Find the moment of inertia of a uniform square plate of mass M and edge a about one of its diagonals.

Knowledge Check

  • Moment of Inertia of an uniform Disc is __________

    A
    `MR^(2)`
    B
    `(MR^(2))/(12)`
    C
    `(MR^(2))/(2)`
    D
    `(MR^(2))/(4)`

  • {:((1),"Angular Momentum",(a),mr^(2)),((2),"Torque",(b),I omega),((3),"Angular Acceleration",(c),(dL)/(dt)),((4),"Moment of Inertia",(d),(d omega)/(dt)):}

    A
    `{:((1),(2),(3),"(4)"),(c,d,b,a):}`
    B
    `{:((1),(2),(3),"(4)"),(b,c,d,a):}`
    C
    `{:((1),(2),(3),"(4)"),(d,c,b,a):}`
    D
    `{:((1),(2),(3),"(4)"),(c,a,b,d):}`

  • Moment of inertia of a thin uniform hollow cylinder about an axis of the cylinder is

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

    • Similar Questions

    Explore conceptually related problems

    Find the moment of inertia of a uniform ring of mass M and radius R about a diameter.

    Moment of inertia of a thin uniform dise about an axis passing through the center perpendicular to the plane is

    Moment of inertia of a uniform solid sphere about an axis passing through the edge along its tangents is

    Moment of inertia of a uniform solid sphere about an axis passing through the center along its diameter is

    Moment of inertia of a thin uniform disc about an axis passing through the center lying on the plane (along diameter is)

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