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Q.

Four spheres each having mass m and radius r are placed with their centres on the four corners of a square of side a. Then the moment of inertia of the system about an axis along one of the sides of the square is :

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a

85mr2

b

85mr2+ma2

c

85mr2+2ma2

d

45mr2+4ma2

answer is C.

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Detailed Solution

IAB=I1AB+I2AB+ISAB+I4AB=25mr2+25mr2+25mr2+ma2+25mr2+ma2=85mr2+2ma2
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