A simple pendulum of length l and having a bob of mass M is suspended ina car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium, what will be its time period ?

Explanation

To find the time period of a simple pendulum suspended in a car moving on a circular track, we will follow these steps:

### Step 1: Understand the Forces Acting on the Pendulum
The pendulum bob experiences two main forces:
1. The gravitational force acting downwards, which contributes to the acceleration due to gravity \( g \).
2. The centrifugal force due to the circular motion of the car, which can be expressed as an effective acceleration \( a = \frac{v^2}{R} \).

### Step 2: Determine the Effective Acceleration
...