Equilibrium position of a particle performing SHM – Rankers Physics

Potential Energy & Equilibrium: Practice Problem & Solution

A particle of mass 4 kg is performing S.H.M. in a straight line under the action of force \( F = (15 - 3x) \text{ N} \). Equilibrium position of particle will be
x = 3 m
x = 5 m
x = 7 m
x = 10 m

Solution Explained:

To solve this problem, we apply the core principles of Potential Energy & Equilibrium. Understanding the underlying formula is key to arriving at the correct answer below:

At the equilibrium position of a simple harmonic oscillator, the net restoring force acting on the particle is zero. Setting \( F = 15 - 3x = 0 \) yields \( 3x = 15 ⇒ x = 5 \text{ m} \).

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