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Mechanical Properties Of Fluids

Question
CBSEENPH11020213

A simple pendulum of length 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 v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period?

Solution
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 = straight v squared over straight R 

where, 
v is the uniform speed of the car 
R is the radius of the track 
Effective acceleration (g') is given as,
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