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Q. A simple pendulum hung from the ceiling of a train moving at constant speed has a period $T$. If the train starts accelerating or decelerating, then what will be the effect on time period of pendulum?

Oscillations

Solution:

When a train is moving with acceleration, the pendulum is exerted by a pseudo acceleration opposite to the direction of the train. As a result, there will be an increase in effective acceleration on the pendulum. The time period will decrease as the time period is inversely proportional to the square root of effective acceleration.