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  4. Two uniform rods of equal length but different masses are rigidly joint to form an L-shaped body, which is then pivoted as shown. If in equilibrium, the body is in the shown configuration, ratio M/m will be

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Q. Two uniform rods of equal length but different masses are rigidly joint to form an L-shaped body, which is then pivoted as shown. If in equilibrium, the body is in the shown configuration, ratio $M/m$ will bePhysics Question Image

NTA AbhyasNTA Abhyas 2020System of Particles and Rotational Motion

Solution:

Net torque about O should be zero. Hence
$\text{mg}\left(\frac{\text{l}}{2} \text{sin 60°}\right)=\text{Mg}\left(\frac{\text{l}}{2} \text{sin 30°}\right)$
∴ $\frac{\text{M}}{\text{m}}=\frac{\text{sin 60°} }{\text{sin 30°}}=\sqrt{3}$