What is free oscillator? Write the differential equation for free oscillator.
The simple harmonic oscillation is executed when an oscillator is displaced from it's equilibrium position.
The time period of its oscillation depends upon the oscillator's inertia factor and elastic factor.
If the amplitude of oscillations remains constant in the absence of any external source of energy, then the oscillations are called free oscillations and oscillator is called free oscillator.
The frequency with which the oscillator oscillates is called natural frequency.
The differential equation of free oscillator is,
The solution of the above equation differential equation is,
The energy of oscillator is,
As the amplitude of free oscillations is constant, therefore the energy of oscillation is also constant.
