SHM in liquid

A thin rod of length LL and area of cross section SS is pivoted at its lowest point P inside a stationary , homogeneous , non viscous liquid as shown in the figure.

The rod is free to rotate in a vertical plane about a horizontal axis passing through pp. The density of the material of the rod D1D_1 is smaller than the density of liquid D2D_2. The rod is displaced by a small angle θθ from its equilibrium position and then released.

If the body performs Simple harmonic motion, calculate t's angular fequency ω\omega

Details and Assumptions

D1=200unitsD_1 = 200 \text {units}

D2=400unitsD_2 = 400 \text {units}

L=20cmL = 20 \text {cm}

g=10ms2g =10 \dfrac {m}{s^2}

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