A simple pendulum of length 
and having a bob of mass 
is suspended in a car, moving on a circular track of radius 
with uniform speed 
. If the pendulum makes small oscillation in a radial direction about its equilibrium position, then its time period can be given by 
. The value of 
is [Take 
]
Text Solution
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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 
Centripetal acceleration 
Effective acceleration will be
Time period, 
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