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Four rods of equal length l and mass m e...

Four rods of equal length l and mass m each form a square as shown in figure. Moment of inertia about three axes 1,2 and 3 are say `I_(1) , I_(2) " and "I_(3)` . Then, match the following

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The correct Answer is:
(A) Q,(B)S,(C)Q
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Four rods of equal length l and mass m each forms a square as shown in figure Moment of inertia about three axes 1,2 and 3 are say I_(1),I_(2) and I_(3) . Then, match the following columns {:(,"Column-I",,"Column-II"),("(A)",I_(1),"(p)",(4)/(3)ml^(2)),("(B)",I_(2),"(q)",(2)/(3)ml^(2)),("(C)",I_(3),"(r)",(1)/(2)ml^(2)),(,,"(s)","None"):}

Four thin rods of same mass M and same length l, form a square as shown in figure. Moment of inertia of this system about an axis through centre O and perpendicular to its plane is

Knowledge Check

  • A square lamina is as shown in figure. The moment of inertia of the frame about the three axes as shown in figure I_(1),I_(2) and I_(3) respectively. Select the correct alternative.

    A
    `I_(2)=I_(2) gt I_(1)`
    B
    `I_(1) gt I_(2) gt I_(3)`
    C
    `I_(2) = I_(3) lt I_(1)`
    D
    `I_(1) lt I_(2) lt I_(3)`

  • A rod AB of mass m and length l is rotating about a vertical axis as shown. It's moment of inertia about this axis is :

    A
    `(ml^(2))/3`
    B
    `(ml^(2))/4`
    C
    `(ml^(2))/16`
    D
    `(ml^(2))/12`

  • A thin wire of length l and mass m is bent in the form of a semicircle as shown in the figure. Its moment of inertia about an axis joining its free ends will be

    A
    `ml^2`
    B
    `zero`
    C
    `(ml^2)/pi^2`
    D
    `(ml^2)/(2pi^2)`

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