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The moment of inertia of an annular disc...

The moment of inertia of an annular disc of mass M, outer and inner radii R and r, about its diameter is

A

`M(R^2+r^2)//2`

B

`MR^2`

C

`Mr^2`

D

`M(R^2 + r^2)/4`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • 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 uniform circular disc of mass M and radius R about any of its diameters is 1/4 MR^(2) . What is the moment of inertia of the disc about an axis passing through its centre and normal to the disc?

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

  • The moment of inertia of a thin circular disc of mass M and radius R about any diameter is

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

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    (a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2 MR^(2)//5, where M is the mass of the sphere and R is the radius of the sphere. (b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be (1)/(4)MR^(2) , find the moment of inertia about an axis normal to the disc passing through a point on its edge.

    Calculate the moment of Inertia of a semicircular disc of mass M and radius R about an axis passing through its centre and perpendicular to its plane.

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    Given the moment of interia of a disc of mass M and radii R about any of its diameters to be (MR^(2))/4 . What is its moment of interia about an axis normal to the disc and passing through a point on its edge .

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