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Four point size bodies each of mass M ar...

Four point size bodies each of mass `M` are fixed at four corners of a light square frame of side length `L`. The moment of inertia of the four bodies about an axis perpendicular to the plane of frame and passing through its centre is

A

`4ML^(2)`

B

`2sqrt(2)ML^(2)`

C

`2ML^(2)`

D

`sqrt(2)ML^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

`I=Sum mr^(2)`
Here `r=L/(sqrt(2))`
`:. I=4[M(L/(sqrt(2)))]=2ML^(2)`
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Knowledge Check

  • Four point size bodies each of mass m are fixed at four corners of light square frame of side length 1m . The radius of gyration of these four bodies about an axis perpendicular to the plane of frame passing through its centre is

    A
    `sqrt(2)`
    B
    `2`
    C
    `1/(sqrt(2))`
    D
    `1/2`

  • In the above problem the moment of inertia of four bodies about an axis perpendicular to the plane of frame and passing through a corner is

    A
    `ML^(2)`
    B
    `2ML^(2)`
    C
    `2sqrt(2)ML^(2)`
    D
    `4ML^(2)`

  • In the above problem the moment of inertia of four bodies about an axis perpendicular to the plane of frame and passing through a corner is

    A
    `ML^(2)`
    B
    `2ML^(2)`
    C
    `2sqrt(2)ML^(2)`
    D
    `4ML^(2)`

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