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Radius of gyration of a uniform circular...

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//sqrt(2)`

B

R/2

C

`sqrt(2)` R

D

2R

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The correct Answer is:
A
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Knowledge Check

  • The moment of inertia of a uniform semi - circular disc about an axis passing through its centre of mass and perpendicular to its plane is ( Mass of this disc is M and radius is R ) .

    A
    `(MR^2)/2-M((2R)/pi)^2`
    B
    `(MR^2)/2-M((4R)/pi)^2`
    C
    `(MR^2)/2+M((4R)/(3pi))^2`
    D
    `(MR^2)/2+M((2R)/(pi))^2`

  • The radius of gyration of an uniform rod of length L about an axis passing through its centre of mass and perpendicular to its length is.

    A
    `(L)/(sqrt(2))`
    B
    `(L^2)/(sqrt(12))`
    C
    `(L)/(sqrt(3))`
    D
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  • The radius of gyration of a disc of mass 100 g and radius 5 cm about an axis passing through its centre of gravity and perpendicular to the plane is

    A
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    B
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    C
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    D
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