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What is radius of gyration of a soild sp...

What is radius of gyration of a soild sphere of mass `m` and radius `r` about its diameter ?

Text Solution

Verified by Experts

`I = MK^(2) = (2)/(5)MR^(2) = 0.4 MR^(2)`
`K = R sqrt(0.4)`
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Knowledge Check

  • The M.I. of solid sphere of mass M and radius R about its diameter is

    A
    `(2)/(5) MR^(2)`
    B
    `(7)/(5)MR^(2)`
    C
    `(2)/(3)MR^(2)`
    D
    `(5)/(3)MR^(2)`

  • The radius of gyration of a solid hemisphere of mass M and radius Rn about an axis parallel to the diameter at a distance (3)/(4) R is given by (centre of mass of the hemisphere lies at a height 3R//8 from the base.)

    A
    `(3R)/(sqrt10)`
    B
    `(5R)/(4)`
    C
    `(5R)/(8)`
    D
    `sqrt((2)/(5))R`

  • The radius of gyration of a solid cylinder of mass M and radius R about its own axis is

    A
    `(R)/(sqrt2)`
    B
    `(R)/(2)`
    C
    `(R)/(sqrt3)`
    D
    `(R)/(3)`

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