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Four particles each of mass 'm' are kept...

Four particles each of mass 'm' are kept at the four corners of a square of edge 'a'. Find the moment of inertia of the system about a line perpendicular to the plane of the square and passing through the center of the square.

Text Solution

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The perpendicular distance of every particle from the given line is `a//sqrt(2)`. The moment of inertia of one particle is therefore, `m(a//sqrt(2))^(2)=1/2ma^(2)`. The moment of inertia of the system is, therefore.
`4xx1/2ma^(2)=2ma^(2)`
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