JEE MAIN - Physics (2020 - 3rd September Evening Slot - No. 1)
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 $${N \over {20}}$$ ma2
where N is an integer. The value of N is _____.
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Answer
25
Explanation
_3rd_September_Evening_Slot_en_1_2.png)
I = m$$a$$2 + $${{m{a^2}} \over 4}$$ = $${5 \over 4}m{a^2}$$
Accoeding to the question,
$${5 \over 4}m{a^2} = {N \over {20}}m{a^2}$$
$$ \Rightarrow $$ N = 25
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