First slide

Simple hormonic motion

Question

A simple pendulum hangs from the ceiling of a car. If the car accelerates with a uniform acceleration, the frequency of the simple pendulum will

Moderate

A

increases
B

decreases
C

become infinite
D

remain constant

Solution

In this case frequency of oscillation is given by $n = \frac{1}{2 π} \sqrt{\frac{\sqrt{g^{2} + a^{2}}}{l}}$ , where a is the acceleration of car. If a increases then n also increases.

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