A semi-circular ring has mass \( \mathrm{m} \) and radius \( \mathrm{R} \) as shown in figure. L....
A semi-circular ring has mass \( \mathrm{m} \) and radius \( \mathrm{R} \) as shown in figure. Let \( I_{1}, I_{2}, I_{3} \) and \( I_{4} \) be the moments of
\( \mathrm{P} \)
inertia about the four axes as shown. Axis 1 passes through centre and is perpendicular to plane of ring, then, match the following.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|r|}{ Column-I } & \multicolumn{2}{|c|}{ Column-II } \\
\hline (A) & \( I_{1} \) & (P) & \( \frac{m R^{2}}{2} \) \\
\hline (B) & \( I_{2} \) & (Q) & \( \frac{3}{2} m R^{2} \) \\
\hline (C) & \( I_{3} \) & (R) & \( m R^{2} \) \\
\hline (D) & \( I_{4} \) & (S) & Data is insufficient \\
\hline
\end{tabular}
\begin{tabular}{lllll}
& A & B & C & D \\
(1) & \( \mathrm{R} \) & \( \mathrm{P} \) & \( \mathrm{P} \) & \( \mathrm{Q} \) \\
(2) & \( \mathrm{R} \) & \( \mathrm{P} \) & \( \mathrm{P} \) & \( \mathrm{S} \) \\
(3) & \( \mathrm{Q} \) & \( \mathrm{P} \) & \( \mathrm{P} \) & \( \mathrm{R} \) \\
(4) & \( \mathrm{P} \) & \( \mathrm{P} \) & \( \mathrm{R} \) & \( \mathrm{Q} \)
\end{tabular}
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