First slide

Applications of SHM

Question

A pendulum suspended from the ceiling of a train has a period T, when the train is at rest. When the train is accelerating with a uniform acceleration a, the period of oscillation will

Moderate

A

Increase
B

Decrease
C

Remain unaffected
D

Become infinite

Solution

Initially time period was $T = 2 π \sqrt{\frac{l}{g}}$ .
When train accelerates, the effective value of g becomes $\sqrt{(g^{2} + a^{2})}$ which is greater than g
Hence, new time period, becomes less than the initial time period.

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