Equilibrium and Inertial Frames – Rankers Physics
Topic: Laws of Motion
Subtopic: Definition of Force Inertia and First Law

Equilibrium and Inertial Frames


Assertion (A): If a particle is found to be in equilibrium in two different frames of reference implies that both frames are inertial.
Reason (R): Newton's second law can be used for motion of a particle in any reference frame.
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

Assertion (A) is false. Two non-inertial frames accelerating identically relative to an inertial frame could both observe a particle in equilibrium. Reason (R) is false. Newton's second law \( \vec{F} = m \vec{a} \) strictly applies in inertial frames; pseudo forces must be included in non-inertial frames. Therefore, both (A) and (R) are false.

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