A particle of mass 100 g, is made to describe a vertical circle of radius 1 m. Its instantaneous speed is `1ms^(-1)` when the string makes an sngle of `30^(@)` with the vertical Find the tension in the string at this position. Can the particle complete its circular path? `(g=10ms^(-2))`

Explanation

To solve the problem step by step, we will first determine the tension in the string when the particle is at an angle of \(30^\circ\) with the vertical and then check if the particle can complete the circular path.

### Step 1: Identify the given values
- Mass of the particle, \(m = 100 \, \text{g} = 0.1 \, \text{kg}\)
- Radius of the circle, \(r = 1 \, \text{m}\)
- Instantaneous speed, \(v = 1 \, \text{m/s}\)
- Angle with the vertical, \(\theta = 30^\circ\)
- Acceleration due to gravity, \(g = 10 \, \text{m/s}^2\)
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