The period of oscillation of simple pendulum of length L suspended from the roof of a vehicle which moves without friction down on inclined plane of inclination α is given by
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We are given that the simple pendulum of length 
is hanging from the roof of a vehicle which is moving down the frictionless inclined plane.
So, it's acceleration is 
. since vehicle is accelerating a pseudo force 
will act on bob of pendulum which cancel the 
component of weight of the bob.
Hence we can say that the effective acceleration would be equal to
Now the time period of oscillation is given by
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