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Q. A particle oscillating under a force $\vec{F}=-k \vec{x}-b \vec{v}$ is a $(k$ and $b$ are constants)

Oscillations

Solution:

A particle oscillating under a force $\vec{F}=-k \vec{x}-b \vec{v}$ is a damped oscillator. The first term $-k \vec{x}$ represents the restoring force and second term $-b \vec{v}$ represents the damping force.