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Damped Simple Harmonic Motion

 

  1. Restoring Force 

Definition: A restoring force is the force that acts to bring a displaced system back to its equilibrium position. It is directly proportional to the displacement.

Where k is constant and Negative sign presenting that restoring force is opposite to displacement.

 

2.    2. Damping Force

Definition: A damping force is the resistive force that opposes the motion of an oscillating body. It reduces the amplitude of oscillation with time.

Origin: friction, air resistance, viscous drag, etc.

It is directly proportional to the velocity.

Where λ is damping constant and

negative sign → damping force always acts opposite to velocity.

 

3.     3. Equation of Motion for Damped Oscillator