### Q.17:- A simple pendulum of length *l *and having a bob of mass *M *is suspended in a 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 position, what will be its time period?

**Answer:-**

The bob of the simple pendulum will experience the acceleration due to gravity and the centripetal acceleration provided by the circular motion of the car.

Acceleration due to gravity = *g*

Centripetal acceleration = *v*^{2}/*R*

where,

*v* is the uniform speed of the car

*R* is the radius of the track

Effective acceleration (*g’*) is given as: