Seven identical discs are arranged in a planar pattern, so as to touch each other as shown in the figure. Each disc has mass 
and radius R. What is the moment of
inertia of system of six discs about an axis passing through the centre of central disc and normal to plane of all discs?
Text Solution
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: Here distance between the centre of the discs is 
, and these are six discs which surrounds the central disc. If 
is the moment of inertia of central disc and 
is the moment of inertia of each six outer discs about specified axis, then moment of inertia of the system about 
is, 
Using parallel axes theorem,
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