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Four small objects each of mass m are fi...

Four small objects each of mass m are fixed at the comers of a rectangular wire-frame of negligible mass and of sides a and `b (a gt b )`. If the wire frame is now rotated about an axis passing along the side of length b, then the moment of inertia of the system for this axis of rotation is

A

`2ma^(2)`

B

`4ma^(2)`

C

`2m(a^(2)+b^(2))`

D

`2m(a^(2)-b^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Moment of inertia of a rectangular wire frame about an axis passing through along the side b.

`I=ma^(2)+0+ma^(2)+0=2ma^(2)`
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Knowledge Check

  • Four small objects each of mass m are fixed at the corners of a rectangular wire-frame of negligible mass and of sides a and b (a gt b). If the wire frame is now rotated about an axis passing along the side of length b, then the moment of inertia of the system for this axis of rotation is

    A
    `2ma^2`
    B
    `4ma^2`
    C
    `2 m (a^2 + b^2)`
    D
    `2m (a^2- b^2)`

  • Four small objects each of mass m are fixed at the corners of a rectangular wire-frame of negligible mass and of sides a and b (a > b) . If the wire frame is now rotated about an axis passing along the side of length then the moment of inertia of the system for this axis of rotation is:

    A
    `2ma^2`
    B
    `4ma^2`
    C
    `2m(a^2+b^2)`
    D
    `2m(a^2-b^2)`

  • In above problem about an axis passing through any side of frame the moment of inertia of three bodies is

    A
    `ML^(2)`
    B
    `(3ML^(2))/2`
    C
    `(3ML^(2))/4`
    D
    `(2ML^(2))/3`

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