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The radius of gyration of a rotating cir...

The radius of gyration of a rotating circular ring is maximum about following axis of rotation

A

natural axis

B

axis passing through diameter of ring

C

axis passing through tangent of ring in its plane

D

axis perpendicular through tangent of ring perpendicular to plane of ring.

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The radius of gyration of a uniform circular ring of radius R, about an axis which is a chord of circle of length sqrt3R is ,

    A
    `R/2`
    B
    `(sqrt3R)/2`
    C
    `(2R)/(sqrt3)`
    D
    `R/sqrt3`
  • The radius of gyration of a rotating metallic disc is independent of the following physical quantity.

    A
    position of axis of rotation
    B
    mass of disc
    C
    radius of disc
    D
    temperature of disc
  • The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis perpendicular to plane of disc or ring is

    A
    `1:2`
    B
    `sqrt5:sqrt6`
    C
    `2:3`
    D
    `sqrt3:2`
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    Calculate the radius of gyration of a uniform circular ring about an axis passing through its diameter.

    Show that the radii of gyration of a circular ring and circular disc of the same radius about an axis passing through their centres and perpendicular to their plane are in the ratio sqrt(2) : 1 .

    Find the ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis in their planes.

    The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis perpendicular to plane of disc or ring is

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