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?

Question

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? (A) Decreases only when train accelerates (B) Decreases only when train decelerates (C) Decreases in both cases (D) Increases in both cases

Tardigrade Admin · Accepted Answer

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.

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?

Decreases only when train accelerates

Decreases only when train decelerates

Decreases in both cases

Increases in both cases

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?