A string of length 0.5 m carries a bob of mass 0.1 kg at its end. If this is to be used as a concial pendulum of period ` 0.4 pi s ` s, calculate the angle of inclination of the string with the vertical and the tension in the string .

Explanation

To solve the problem, we need to find the angle of inclination of the string with the vertical and the tension in the string for a conical pendulum. Let's break down the solution step by step.

### Step 1: Identify the given values
- Length of the string, \( l = 0.5 \, \text{m} \)
- Mass of the bob, \( m = 0.1 \, \text{kg} \)
- Period of the pendulum, \( T = 0.4 \pi \, \text{s} \)
- Acceleration due to gravity, \( g = 9.8 \, \text{m/s}^2 \)

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