A train is travelling at a constant speed u around a circular track of radius R. A simple pendulum of length L and mass m is suspended from the ceiling of the compartment of the train. IF the tension in the string of the pendulum is T, then find the time period of oscillation.

Explanation

To find the time period of oscillation of a simple pendulum suspended in a train moving at a constant speed around a circular track, we can follow these steps:

### Step 1: Identify the forces acting on the pendulum.
When the train moves in a circular path, the pendulum experiences two forces:
1. The gravitational force acting downwards: \( mg \)
2. The centrifugal force acting outward due to the circular motion of the train: \( \frac{mv^2}{R} \)

### Step 2: Set up the equilibrium position.
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