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Moment of inetia of a disc about OO' is...

Moment of inetia of a disc about OO' is

A

`(3mr^(2))/2`

B

`(mr^(2))/2`

C

`(5mr^(2))/2`

D

`(5mr^(2))/4`

Text Solution

Verified by Experts

The correct Answer is:
D
`I_(AB)=(mr^(2))/4` (by perpendicular axis theorem) by applying parallel axis theorem
`I_(0,0)=(mr^(2))/4+mr^(2)=(5mr^(2))/4`
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Knowledge Check

  • Moment of inertia of a disc about an axis which is tangent and parallel to its plane is I . Then the moment of inertia of disc about a tangent, but perpendicular to its plane will be

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    `(3I)/(4)`
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    `(3I)/(2)`
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    `3I`
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  • The moment of intertia of a disc about an axis passing through its centre and normal to its plane is I. The disc is now folded along a diameter such that the two halves are mutually perpendicular. Its moment of inertia about this diameter will now be

    A
    I
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    `I/sqrt(2)`
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