A cyclist riding at a speed of `14 sqrt(3 ) ms^(-1)` takes a turn around a circular road of radius `20 sqrt(3)` m . What is his inclination with horizontal ?

Explanation

To solve the problem, we need to determine the angle of inclination of the cyclist with respect to the horizontal while taking a turn on a circular path. Here's a step-by-step solution:

### Step 1: Understand the forces acting on the cyclist
When the cyclist is taking a turn, there are two main forces acting on him:
1. The gravitational force (mg) acting downwards.
2. The normal force (N) exerted by the ground, which acts perpendicular to the surface.

### Step 2: Set up the equations of motion
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