An massless equilateral triangle EFG of side 'a' (As shown in figure) has three particles of mass $m$ situated at its vertices. The moment of inertia of the system about the line EX perpendicular to EG in the plane of EFG is $\dfrac{N}{20}{ma}^{2}$ where $N$ is an integer. The value of $N$ is ___________ .

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An massless equilateral triangle EFG of side 'a' (As shown in figure) has three particles of mass m situated at its

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I = m × O ^ 2 + ma ^ 2 + m ((a)/(2)) ^ 2 = (5)/(4) ma ^ 2 = (25)/(20) ma ^ 2 N = 25

An massless equilateral triangle EFG of side 'a' (As shown in...

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