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

The centripetal acceleration supplied by the circular motion of the car, as well as the acceleration due to gravity, will be felt by the bob of the basic pendulum.

Acceleration due to gravity is nknown as

Centripetal acceleration is known as

Where,

uniform speed of the car

radius of the track

Effective acceleration is given as

So,

Time period,

As a result, the time period will be