Question

Can simple harmonic motion take place in a noninertial frame? If yes should the ratio of the force applied with the displacement be constant?

Answer 1

Answer ⇒ Yes, A Simple Harmonic Motion will be possible in an non-inertial frame of the reference.

Explanation ⇒ Any specified motion will not change in inertial and non-inertial frame of the Reference. Only there are some mathematical terms which will change and that too depends upon the choice of the person.

We can get the S.H.M.b but we need to apply the pseudo force, since we are talking about the non-inertial; frame of the reference.

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Yes, the Ratio of the Force to the displacement will change this is because the Pseudo force will be applied in this case.

For example,

If F = -kx, then by applying the pseudo force,

F = -kx + ma, where a is the acceleration of the Non-inertial frame.

∴ k = (ma - F)/x

Now, It is different then what written in question. Thus, It is not constant.

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Hope it helps.

Answer 2

Yes, in the non-inertial frame, the simple harmonic motion takes place.

Explanation:

• But there cannot be a constant ratio from the applied force to the displacement because there will be some acceleration in the non-inertial frame with reference to the inertial frame.
• So, for explaining the motion, a fictitious force must be added.
• In physics and mechanics, simple harmonic motion is a special type of oscillation or periodic motion. They act in the opposite direction of displacement.