Forced oscillations represent a periodic variation of a physical quantity over time. An external force applied to an object causes it to undergo a variety of pe...
Forced oscillations represent a periodic variation of a physical quantity over time. An external force applied to an object causes it to undergo a variety of periodic motions that can be described by mathematical equations. These oscillations can be either simple or complex, depending on the nature of the force applied.
Resonance is a specific type of forced oscillation in which the frequency of the applied force is equal to the natural frequency of the object. This means that the object vibrates at its natural frequency with maximum amplitude when the applied force has the same frequency. Resonance is often observed in physical systems, where external forces can cause objects to vibrate at specific frequencies.
Examples of forced oscillations include:
A mass attached to a spring undergoing simple harmonic motion.
A mass attached to a string pulled by a force.
A vibrating string.
Examples of resonance include:
The natural frequency of a mass-spring system.
The resonant frequency of a mass-dashing spring system.
The resonant frequency of a vibrating string when a tuning fork is used to adjust the frequency