Definition of Force Inertia and First Law: Practice Problem & Solution
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.
Solution Explained:
To solve this problem, we apply the core principles of Definition of Force Inertia and First Law. Understanding the underlying formula is key to arriving at the correct answer below:
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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