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Q.

Four point masses(each of mass $m$ ) are arranged in the $X - Y$ plane. The moment of inertia of this array of masses about $Y -$ axis is

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a

$6 m a^{2}$

b

$4 m a^{2}$

c

$m a^{2}$

d

$2 m a^{2}$

answer is D.

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Detailed Solution

$I = m {(a)}^{2} + m {(a)}^{2} + m {(0)}^{2} + m {(2 a)}^{2} \Rightarrow I = 6 m a^{2}$

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