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 .