A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A plumb bob is suspended from the roof of the car by a light rigid rod. What will be the angle made by the rod with the vertical? (g = 10 `ms^(-2)`)

Explanation

To solve the problem of determining the angle made by the rod with the vertical when a car is moving in a circular horizontal track, we can follow these steps:

### Step 1: Understand the Forces Acting on the Plumb Bob
When the car moves in a circular path, the plumb bob experiences two main forces:
1. The gravitational force acting downward (mg).
2. The tension in the rod (T), which acts along the rod and can be resolved into two components:
- T cos(θ) acting vertically upward
- T sin(θ) acting horizontally towards the center of the circular path.
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