# SHM in liquid

A thin rod of length $$L$$ and area of cross section $$S$$ 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 $$p$$. The density of the material of the rod $$D_1$$ is smaller than the density of liquid $$D_2$$. The rod is displaced by a small angle $$θ$$ from its equilibrium position and then released.

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

Details and Assumptions

$$D_1 = 200 \text {units}$$

$$D_2 = 400 \text {units}$$

$$L = 20 \text {cm}$$

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

Also try this.

×