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A simple pendulum of length l and having...

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 ?

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`T=2pisqrt(l/(sqrt(g^(2)+v^(4)//R^(2))))` Hint: Effective acceleration due to gravity will get reduced due to radial acceleration `v^(2)//R` acting in the horizontal plane.
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