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The radius of gyration of a body about a...

The radius of gyration of a body about an axis at a distance of 4 cm from the centre of gravity is 5 cm. Its radius of gyration about a parallel axis through centre of gravity is

A

`sqrt(31)cm`

B

1 cm

C

3 cm

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
`K_(0)^(2)=K_(c )^(2)+h^(2)`
`K_(c )^(2)= K_(0)^(2)-h^(2)=25-16`
`K_(c )^(2)=9`
`K_(c ) = 3 cm`.
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Knowledge Check

  • The radius of gyration of a body about an axis at a distance of 6 cm from the centre of gravity is 10 cm. Its radius of gyration about a parallel axis through centre of gravity is

    A
    4 cm
    B
    14 cm
    C
    8 cm
    D
    16 cm

  • The radius of gyration of a body about an axis at a distance of 4cm from its centre of mass is 5cm . The radius of gyration about a parallel axis through centre of mass is

    A
    `2cm`
    B
    `5 cm`
    C
    `4 cm`
    D
    `3 cm`

  • The radius of gyration of a body about an axis at a distance of 6 cm from the centre of mass is 10 cm. What is its radius of gyration about a parallel axis through its centre of mass?

    A
    K = 4 cm
    B
    K = 6 cm
    C
    K =10 cm
    D
    K = 8 cm

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