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From a disc of radius R and mass m, a ci...

From a disc of radius R and mass m, a circular hole of diamter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

A

`11 MR^(2)//32`

B

`9MR^(2)//32`

C

`15MR^(2)//32`

D

`13MR^(2)//32`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • From a disc of radius R and mass M , a circular hole of diameter R , whose rim passes through the centre is cut. What is the moment of inertia of remaining part of the disc about a perependicular axis, passing through the centre ?

    A
    `(13)/(32)MR^(2)`
    B
    `(11)/(32)MR^(2)`
    C
    `(9)/(32)MR^(2)`
    D
    `(15)/(32)MR^(2)`

  • From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

    A
    `4M^(2)`
    B
    `40/9MR^(2)`
    C
    `10MR^(2)`
    D
    `37/9MR^(2)`

  • From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed as shown in figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

    A
    `4 MR^(2)`
    B
    `40/9 MR^(2)`
    C
    `40 MR^(2)`
    D
    `37/9 MR^(2)`

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