A cylindrical object of outer diameter 20 cm and mass 2 kg floats in water with its axis vertical. If it is slightly depressed and then released, find the time period of the resulting simple harmonic motion of the object.

Explanation

To find the time period of the simple harmonic motion (SHM) of a cylindrical object floating in water, we will follow these steps:

### Step 1: Identify the parameters
- Outer diameter of the cylindrical object = 20 cm = 0.2 m
- Radius \( r \) = \( \frac{0.2}{2} = 0.1 \) m
- Mass of the object \( m = 2 \) kg
- Density of water \( \rho = 1000 \) kg/m³
- Acceleration due to gravity \( g = 9.81 \) m/s²
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