A uniform thin rod is bent in the form of closed loop \(A B C D E F A\) as shown in the figure. The ratio of…
A uniform thin rod is bent in the form of closed loop \(A B C D E F A\) as shown in the figure. The ratio of moment of inertia of the loop about \(x\)-axis to that about \(y\)-axis is
\( > 1\)
\( < 1\)
\(=1\)
\(=1 / 2\)
Solution
moment of inertia along \(\mathrm{x}\)-axis \(<\) moment of inertia along \(\mathrm{y}\)-axis. because \(\mathrm{AB}\) and DE wires do not appear in moment of inertia of \(x\)-axis equation,but remaining remains the same.
Therefore, ratio of moment of inertia along \(\mathrm{x}\)-axis to moment of inertia along \(y\)-axis is \(<1\).
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Asked in: JEE Mains - Rotational Motion - Chapter Test
