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Question

A simple pendulum of length l is suspended from the ceiling of a train which is moving in the horizontal direction with a constant acceleration a. The time period of the pendulum is given by T=2πlgeff where geff is given by

A
g
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B
(g+a)
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C
(g- a)
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D
g2+a2
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Solution

The correct option is D g2+a2
There are two perpendicular acceleration vectors; g acting vertically downwards and a acting horizontally. The resultant acceleration is given by
geff=g2+a2
Hence the correct choice is (d)

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