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A ring and a circular disc of different ...

A ring and a circular disc of different materials have equal masses and equal radii. Which one will have a larger moment of inertia about an axis passing through its centre of mass perpendicular to its plane ?

Text Solution

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A ring has a larger moment of inertia because its entire mass is concentrated at the rim at maximum distance from the axis.
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Knowledge Check

  • Moment of inertia of a circular ring about an axis through its centre and perpendicular to its plane is

    A
    `I = (1)/(2) MR^2`
    B
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    C
    `I = (3)/(2) MR^2`
    D
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  • 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.

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    B
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    C
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    D
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  • The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane

    A
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    B
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    C
    increases if its angular velocity is increased
    D
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