Four spheres each diameter 2a and mass 'm' are placed with their centres on the four corners of a square of the side b. Calculate the moment of inertia of the system about any side of the square.

Explanation

`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 = 8/5 ma^(2)+2mb^(2)`