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Four similar point masses (each of mass ...

Four similar point masses (each of mass m) are placed on the circumference of a disc of mass M and radius R. The M.I. of the system about the normal axis through the centre O will be:

A

`MR^(2)+4mR^(2)`

B

`(1)/(2)MR^(2)+4mR^(2)`

C

`MR^(2)+(8)/(5)mR^(2)`

D

None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Four similar point masses (m each) are symmetrically placed on the circumference of a disc of mass M and radius R. Moment of inertia of the system about an axis passing through centre O and perpendicular to the plane of the disc will be

    A
    `MR^(2)+4mR^(2)`
    B
    `MR^(2)+(8)/(5)mR^(2)`
    C
    `mR^(2)+4MR^(2)`
    D
    `(MR^(2))/(2)+4mR^(2)`

  • A disc of radius r is removed from the centre of a disc of mass M and radius R. The M.I. About the axis through the centre and normal to the plane will be:

    A
    `M(R^(2)-r^(2))//2`
    B
    `M(R^(2)+r^(2))//2`
    C
    `M(R^(4)-r^(4))//2R^(2)`
    D
    `M(R^(2))//2`

  • Four particles, each of mass m, are lying symmetrically on the rim of a disc of mass M and radius R. M.I. of this system about an axis passing through one of the particles and perpendicular to plane of disc is

    A
    `16mR^(2)`
    B
    `(3M+16m) (R^(2))/(2)`
    C
    `(3m +2M) (R^(2))/(2)`
    D
    zero

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