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Q.

Four identical thin rods each of mass M and lengthl , form a square frame. Moment of inertia of this frame abut an axis through the centre of the square and perpendicular to its plane is

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a

13Ml2

b

43Ml2

c

23Ml2

d

133Ml2

answer is B.

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Detailed Solution

Moment of inertia of each rod about an axis through its centre and perpendicular to its length =M l212 Using theorem of parallel axes. M.I  of each rod about the given axis                =M l212+M(l2)2=M l23M.I  Of the square frame about the given axis=4 M l23 .
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