A simple pendulum and a mass oscillating on an ideal spring both have period T i

Question

A simple pendulum and a mass oscillating on an ideal spring both have period T in an elevator at rest. If the elevator now accelerates downward uniformly at 2 m/s2, what is true about the periods of these two systems?

A.The period of the pendulum would increase but the period of the spring would stay the same. B.The period of the pendulum would decrease but the period of the spring would stay the same. C. Both periods would remain the same. D. Both periods would decrease. E. Both periods would increase.

Explanation / Answer

(A)

Since the time period of the pendulum is dependent on the acceleration t=2*pi*sqrt(l/g-a)

and the time period of the spring is independent of the acceleration t = sqrt(k/m)

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