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Seven identical disc are arranged in a h...

Seven identical disc are arranged in a hexagonal, planar pattern so as to touch each neighbour, as shown in the figure. Each disc has mass `m` and radius `r`. What is the moment of inertia of the system of seven disks about an axis passing through the centre of central disk and normal to plane of all disks ?
.

A

`(55)/(2)mr^(2)`

B

`(127)/(2)mr^(2)`

C

`(111)/(2)mr^(2)`

D

`55mr^(2)`

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