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Q.

A thin rod of length 4l and mass 4m is bent at the points as shown in the figure. What is the moment of inertia of the rod about the axis passing through Point O and perpendicular to the plane of the paper.

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a

Ml23

b

10Ml23

c

Ml212

d

MI224

answer is B.

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Detailed Solution

Total MI=I1+I2+I3+I4           =2I1+2I2=2I1+I2               I1=I3; I1=I4Now,I2=I3=Ml23Using parallel axis theorem, we have  I=ICM+Mx2 and x=l2+l22I1=I4=Ml212+Ml2+l222Putting all values , we getI=10Ml23
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