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find the radius of gyration of a rod of mass `m` and length `2l` about an axis passing through one of its eneds and perpendicular to its length.

Text Solution

Verified by Experts

`K=sqrt((I)/(m))=sqrt((m(2l)^(2)//3)/(m))=(2)/(3)l`
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Knowledge Check

  • The radius of gyration of an uniform rod of length l about an axis passing through one of its ends and perpendicular to its length is.

    A
    `(l)/(sqrt(2))`
    B
    `(l)/(3)`
    C
    `(l)/(sqrt(3))`
    D
    `(l)/(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
    `(L)/(sqrt(2))`

  • The M.I. of thin uniform rod of mass 'M' and length 'l' about an axis passing through its centre and perpendicular to its length is

    A
    `Ml^(2)`
    B
    `Ml^(2)//3`
    C
    `Ml^(2)//2`
    D
    `Ml^(2)//12`

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