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Calculate the radius of gyration of a un...

Calculate the radius of gyration of a uniform circular ring about an axis passing through its diameter.

Text Solution

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`I=MK^(2)`, for ring `I=(MR^(2))/(2)`
Comparing `K=(R )/(sqrt(2))`
Hint : `I_("ring") = (MR^(2))/(2)` (abour an axis passing through its diameter)
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Knowledge Check

  • Radius of gyration of a uniform circular disc about an axis passing through its centre of gravity and perpendicular to its plane is

    A
    R
    B
    `R/2`
    C
    `sqrt2R`
    D
    `R/sqrt2`

  • Radius of gyration of a ring about a transverse axis passing through its centre is

    A
    `0.5xx` diameter of ring
    B
    diameter of ring
    C
    `2xx` diameter of ring
    D
    `"(diameter of ring)"^(2)`

  • The radius of of disc is 2 m the radius of gyration of disc about an axis passing through its diameter is

    A
    2 m
    B
    2 cm
    C
    1 m
    D
    0.2 m

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