# A classical mechanics problem by Pratik Shastri

Classical Mechanics Level 4

A pendulum oscillates, immersed in water. The mass of the bob is $$250 \ g$$, length of the string is $$30 \ cm$$, the radius of the bob is $$2 \ cm$$ and density of water $$\rho_w$$ is $$1000 \ kg/m^3$$.

Calculate the time period of its oscillations (in seconds), considering its amplitude to be small.

$$\textbf{Assumptions}$$

$$\bullet$$ Take $$g=9.8 \ m/s^2$$

$$\bullet$$ Ignore drag forces.

×