Four spheres each of diameter 2a and mass mare 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.

Four spheres each of diameter 2a and mass mare placed with their centr

1.	Four spheres each of diameter 2a and mass mare 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.
Answer» SOLUTION :`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)`