1.

Four spheres each having mass m and radius r are placed with their centres on the four comers 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

Answer»

`8/5mr^(2)`
`8/5mr^(2)+2ma^(2)`
`4/5mr^(2)+2ma^(2)`
`4/5mr^(2)+4ma^(2)`

Solution :USE THEOREM of PARALLEL AXIS
`I=2/5mr^(2)+2/5mr^(2)+(2/5mr^(2)+ma^(2))+(2/5mr^(2)+ma^(2))`
`=8/5mr^(2)+2ma^(2)`


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