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The moment of inertia of a uniform circu...

The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is

A

`MR^(2)`

B

`1/2MR^(2)`

C

`3/2MR^(2)`

D

`7/2MR^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
M.I. of disc about its normal `=1/2MR^(2)`
M.I. about its one edge =`MR^(2)+(MR^(2))/2`
(Perpendicular to the plane)
Moment of inertia =`3/2MR^(2)`.
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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 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)`

  • 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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