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A system of two identical rods (L-shaped) of mass $m$ and length $l$ are resting on a peg P shown in the figure. If the system is displaced in its plane by a small angle $θ$ , then period of oscillations is given by $2 π \sqrt{\frac{k l}{3 g}}$ . Find the value of $k^{2}$ .

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Detailed Solution

Applying time period of physical pendulum as $2 π \sqrt{\frac{I}{m g l}}$ where I is moment of inertia about point of suspension and l is distance between point of suspension and com.

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