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A disc of radius R has a concentric hole...

A disc of radius R has a concentric hole of radius R /2 and its mass is M. Its moment of inertia about an axis through its centre and perpendicular to its plane, is

A

`1/2 MR^2`

B

`MR^2`

C

`3/8 MR^2`

D

`5/8 MR^2`

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Knowledge Check

  • A thin ring has mass 0.25 kg and radius 0.5 m. Its moment of inertia about an axis passing through its centre and perpendicular to its plane is ………… .

    A
    `0.0625 kg m^(2)`
    B
    `0.625 kg m^(2)`
    C
    `6.25 kg m^(2)`
    D
    `62.5 kg m^(2)`

  • A solid cylinder has mass M radius R and length / its moment of inertia about an axis passing through its centre and perpendicular to its own axis is

    A
    `(2MR^(2))/(3)+(MI^(2))/(12)`
    B
    `(MR^(2))/(3)+(MI^(2))/(12)`
    C
    `(3MR^(2))/(3)+(MI^(2))/(12)`
    D
    `(MR^(2))/(4)+(MI^(2))/(12)`

  • A solid cylinder has mass M radius R and length / its moment of inertia about an axis passing through its centre and perpendicular to its own axis is

    A
    `(2MR^(2))/(3)+(MI^(2))/(12)`
    B
    `(MR^(2))/(3)+(MI^(2))/(12)`
    C
    `(3MR^(2))/(3)+(MI^(2))/(12)`
    D
    `(MR^(2))/(4)+(MI^(2))/(12)`

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