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 of length \( l \) with a bob of mass \( M \) suspended in a car moving on a circular track of radius \( R \) with uniform speed \( v \), we can follow these steps:

### Step 1: Understand the forces acting on the pendulum bob
The pendulum bob experiences two main accelerations:
1. The gravitational acceleration \( g \) acting downwards.
2. The centrifugal acceleration \( a_c \) due to the circular motion of the car, which is given by the formula:
\[
a_c = \frac{v^2}{R}
...