What is Damped Simple Harmonic Oscillator?

ANSWER : A damped simple harmonic oscillator refers to a system that exhibits oscillatory motion but gradually loses energy over time due to the presence of a damping force. This force acts against the motion, causing the oscillations to decrease in amplitude until the system comes to a rest position. The behavior of a damped oscillator can be described using the equation :

\(m\left(\frac{d^2x}{dt^2}\right) + b\left(\frac{dx}{dt}\right) + kx = 0\)

where m represents the mass, b denotes the damping coefficient, k is the spring constant, x is the displacement of the oscillator from its equilibrium position, and t represents time. The damping coefficient determines the strength of the damping force. The motion of a damped oscillator can be visualized through a graph, showing the decreasing amplitude of oscillations over time.

Also Read : Differentiate between Simple Pendulum and Compound Pendulum.

Also Read : What is Precessional Motion?

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