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Four spheres of diameter 2a and mass M a...

Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then moment of inertia of the system about an axis about one of the sides of the square is :-

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`I_(1)=(2)/(5)Ma^(2)`
`I_(2)=(2)/(5)Ma^(2)+mb^(2)`
`I_(3)=(2)/(5)ma^(2)++mb^(2)`
`I_(4)=(2)/(5)ma^(2)`
`:.` Moment of Inertia of the system I
`=I_(1)+I_(2)+I_(3)+I_(4)`
`=(2)/(5)ma^(2)+(2)/(5)ma^(2)+mb^(2)+(2)/(5)ma^(2)+mb^(2)+(2)/(5)ma^(2)`
`I=(8)/(6)ma^(2)+2mb^(2)`
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