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Three bodies have equal massses m. Body ...

Three bodies have equal massses `m`. Body `A` is solid cylinder of radius `R`, body `B` is a square lamina of side `R`, and body `C` is solid sphere of radius `R`. Which body has the smallest moment of inertia about an axis passing through their centre of mass and perpendicular to the plane (in case of lamina).

A

A

B

B

C

C

D

A and C both

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • For the same total mass, which of the following will have the largest moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of the body

    A
    a disc of radius R
    B
    a ring of radius R
    C
    a square lamina of side 2 R
    D
    four rods forming a square of side 2R

  • Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

    A
    `1//2MR^(2)`
    B
    `MR^(2)`
    C
    `1//4MR^(2)`
    D
    `3//4 MR^(2)`

  • For the same total mass which of the following will have the largest moment of inertia about an axis passing through its centre of mass and perpendicular to the plane of the body.

    A
    a disc of radius a
    B
    a ring of radius oa
    C
    a square lamina of side `2 a`
    D
    four rods forming a square of side `2a`.

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