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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Somnath
We are given that the simple pendulum of length l is hanging from the roof of a large box which is moving down the frictionless inclined plane. So, its acceleration is gsinθ. Since vehicle is accelerating a pseudo force m(gsinθ) will act on bob of pendulum which cancel the sinθ component of weight of the bob. Hence we can say that the effective acceleration would be equal to g(eff)=gcosθ See the figure in the attachment.
g(eff) = g cos $ how...it's come from
compare the acceleration gcosθ here with the simple pendulam in ground.For a pendulam in ground or rest frame the acceleration is g and here in the figure the acceleration is gcosθ.