Examples of oscillator in the following topics:

 Driven harmonic oscillators are damped oscillators further affected by an externally applied force.
 If a frictional force (damping) proportional to the velocity is also present, the harmonic oscillator is described as a damped oscillator.
 Driven harmonic oscillators are damped oscillators further affected by an externally applied force F(t).
 The time an oscillator needs to adapt to changed external conditions is of the order τ = 1/(ζ0).
 Describe a driven harmonic oscillator as a type of damped oscillator

 In this example, he or she is causing a forced oscillation (or vibration).
 After driving the ball at its natural frequency, the ball's oscillations increase in amplitude with each oscillation for as long as it is driven.
 In real life, most oscillators have damping present in the system.
 These features of driven harmonic oscillators apply to a huge variety of systems.
 Heavy cross winds drove the bridge into oscillations at its resonant frequency.

 As it travels through space it behaves like a wave, and has an oscillating electric field component and an oscillating magnetic field.
 These waves oscillate perpendicularly to and in phase with one another.
 When it accelerates as part of an oscillatory motion, the charged particle creates ripples, or oscillations, in its electric field, and also produces a magnetic field (as predicted by Maxwell's equations).
 This means that an electric field that oscillates as a function of time will produce a magnetic field, and a magnetic field that changes as a function of time will produce an electric field.
 Electromagnetic waves are a selfpropagating transverse wave of oscillating electric and magnetic fields.

 Longitudinal waves, sometimes called compression waves, oscillate in the direction of propagation.
 The difference is that each particle which makes up the medium through which a longitudinal wave propagates oscillates along the axis of propagation.
 In the example of the Slinky, each coil will oscillate at a point but will not travel the length of the Slinky.
 Matter in the medium is periodically displaced by a sound wave, and thus oscillates.
 The wave propagates in the same direction of oscillation.

 A classical harmonic oscillator driven by electromagnetic radiation has a crosssection to absorb radiation of
 Except for the degeneracy factors for the two states, the Einstein coefficients will be the same, so we can define an oscillator strength for stimulated emission as well,
 There are several summation rules that restrict the values of the oscillator strengths,
 We can also separate the emission from absorption oscillator strengths

 The total energy in a simple harmonic oscillator is the constant sum of the potential and kinetic energies.
 In the case of undamped, simple harmonic motion, the energy oscillates back and forth between kinetic and potential, going completely from one to the other as the system oscillates.
 A known mass is hung from a spring of known spring constant and allowed to oscillate.
 The time for one oscillation (period) is measured.
 Explain why the total energy of the harmonic oscillator is constant

 In nature, oscillations are found everywhere.
 From the jiggling of atoms to the large oscillations of sea waves, we find examples of vibrations in almost every physical system.
 They consist, instead, of oscillations or vibrations around almost fixed locations.
 A wave can be transverse or longitudinal depending on the direction of its oscillation.
 Longitudinal waves occur when the oscillations are parallel to the direction of propagation.

 If a transverse wave is moving in the positive xdirection, its oscillations are in up and down directions that lie in the y–z plane.
 Transverse waves are waves that are oscillating perpendicularly to the direction of propagation.
 Here we observe that the wave is moving in t and oscillating in the xy plane.
 A wave can be thought as comprising many particles (as seen in the figure) which oscillate up and down.
 As time passes the oscillations are separated by units of time.

 The forcing function doesn't know anything about the natural frequency of the system and there is no reason why the forced oscillation of the mass will occur at $\omega_0$ .
 The motion of the mass with no applied force is an example of a free oscillation.
 Otherwise the oscillations are forced.
 An important example of a free oscillation is the motion of the entire earth after a great earthquake.
 Free oscillations are also called transients since for any real system in the absence of a forcing term, the damping will cause the motion to die out.

 Resonance is the tendency of a system to oscillate with greater amplitude at some frequencies—in an RLC series circuit, it occurs at $\nu_0 = \frac{1}{2\pi\sqrt{LC}}$.
 Resonance is the tendency of a system to oscillate with greater amplitude at some frequencies than at others.
 This is also the natural frequency at which the circuit would oscillate if not driven by the voltage source.
 Resonance in AC circuits is analogous to mechanical resonance, where resonance is defined as a forced oscillation (in this case, forced by the voltage source) at the natural frequency of the system.
 The receiver in a radio is an RLC circuit that oscillates best at its $\nu_0$.