When an oscillator oscillates in resistive medium, the energy of oscillation is consequently decreased. The amplitude of such an oscillator decreases with time and ultimately the oscillations die out. This type of oscillator is called damped oscillator.
Let us consider a loaded spring oscillating in vertical direction in a resistive media. Let m be the mass of load and k be the spring constant. The load is displaced from equilibrium position and let at any instant, y be the displacement from equilibrium position and v is the velocity of load. The different forces acting on load are:

(i) the restoring force which is proportional to displacement and directed towards equilibrium position, i.e.

F1= – ky

(ii) resistive force of medium which is proportional to velocity and opposite to the direction of velocity, i.e.

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