A cylindrical object of outer diameter 20 cm and mass 2 kg flots in wter with its axis vertical. If it si lightly depressed and then released, find the time peiod of the resulting simple harmonic motion of the object.

Explanation

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

### Step 1: Identify the parameters
- Outer diameter of the cylindrical object = 20 cm
- Mass of the object (m) = 2 kg
- Density of water (ρ) = \(10^3 \, \text{kg/m}^3\)
- Acceleration due to gravity (g) = \(10 \, \text{m/s}^2\)

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