Assertion: For stable equilibrium, force has to be zero and...

Assertion: For stable equilibrium, force has to be zero and potential energy should be minimum. Reason: For equilibrium, it is not necessary that force is not zero.
(A) $\mathrm{A}$
(B) $\mathrm{B}$
(C) $\mathrm{C}$
(D) D

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Key Concepts

Equilibrium

Equilibrium in physical systems is the state where the net force acting on an object is zero, implying that there is no net acceleration. This concept is fundamental in mechanics as it defines when a system is at rest or moving with constant velocity in the absence of unbalanced forces.

Stable Equilibrium

Stable equilibrium refers to a condition where, after a small disturbance, a system experiences forces that drive it back to its initial equilibrium position. This is typically associated with the system having a minimum potential energy, so any displacement increases the potential energy and generates restoring forces.

Potential Energy Minimum

Potential energy plays a key role in assessing stability. A minimum in potential energy indicates that the system is in a stable configuration because any small displacement results in a higher potential energy state, which naturally leads to a restoring force that seeks to return the system to the minimum energy state.

Force Conditions for Equilibrium

While equilibrium requires that the net force on an object be zero, the mere absence of a net force does not determine the type of equilibrium. The nature of equilibrium (stable, unstable, or neutral) depends not only on the force condition but also on how the system's potential energy changes with small perturbations.

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