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Question

# A simple pendulum is suspended from the ceiling of a car accelerating uniformly on a horizontal road. If the acceleration is a0 and the length of the pendulum is l, find the time period of small oscillations about the mean position.

A

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B

g+a

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C

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D

Particle won't oscillate with fixed time period

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Solution

## The correct option is C In non-intertial frame bob feels mg downwards and ma∘ pseudo force backwards. →F=Net force ≡√(ma∘)2+(mg)2=→T=→F=m√a∘2+g2 Here√a∘2+g2 plays the role of effective g T=2π√lgeff=2π√l√a2+g2

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