Question

A spring pendulum oscillates in a vertical plane such that the time period of the oscillation is T. If the whole setup is hung from ceiling of an elevator moving up with an acceleration 2, then the time period of oscillation of the spring will be A) T B) T/2 C)2T D) r/4​

Answer 1

The time period of oscillation of the spring will be T

Therefore, option (A) is correct.

Explanation:

The time period of oscillation of a spring pendulum is given by

$\boxed{T=2\pi\sqrt{m/k}}$

Where m is the mass and k is the spring constant

It is clear that the time period of oscillation of a spring pendulum depends upon mass and spring constant only. It does not depend upon acceleration due to gravity g

While when an elevator is moving up or down the factor that affects the movement is acceleration

Thus, the time period will not be affected

The time period of oscillation of the spring will be T

Hope this answer is helpful.

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