Q.

The moment of inertia of a system of four rods, each of length I and mass m, about the axis perpendicular to plane of square as shown is

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a

23ml2

b

2ml2

c

3ml2

d

103ml2

answer is D.

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Detailed Solution

Moment of inertia about axis 2 which is parallel to axis 1:I2=4ml212+ml22=4ml23Apply perpendicular axis theorem,I1=I2+4mx2=4ml23+4ml22=103ml2
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The moment of inertia of a system of four rods, each of length I and mass m, about the axis perpendicular to plane of square as shown is