A physical pendulum performs small oscillations about the horizontal axis with frequency \( \ome...

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A physical pendulum performs small oscillations about the horizontal axis with frequency \( \omega_{1}=15.0 \mathrm{~s}^{-1} \). When a small body of mass \( m=50 \mathrm{gm} \) is fixed to the pendulum at a distance \( l=20 \mathrm{~cm} \) below the axis, the oscillation frequency becomes equal to \( \omega_{2}=10.0 \mathrm{~s}^{-1} \). Find the moment of inertia of the pendulum relative to the oscillation axis.
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