Simple Harmonics Flashcards
SHM
SHM occurs when an object moves such that it’s acceleration is always directed towards a fixed point and is proportional to its distance from the fixed point (a=-w^2x)
Period, T
The time taken for one complete cycle
Amplitude, A
Maximum displacement from equilibrium position of an object
Phase
The phase of an oscillation is the angle in the equation x=Asin(wt+e)
Frequency, f
The number of oscillations per second (Hz)
Free oscillations
When an oscillatory system (such as a mass on a spring or a pendulum) is displaced and released
Damping
The drying away, due to resistive forces, of the amplitude of free oscillations
Critical Damping
Resistive forces on the system are just large enough to prevent oscillations occurring at all when the system is displaced and released
Forced Oscillation
These occur when a sinusoidally varying driving force is applied to an oscillatory system, causing it to oscillate with the frequency of the applied force
Resonance
If, in forced vibrations, the frequency of the applied force is equal to the natural frequency of the system, rhetorical amplitude of the resulting oscillations is large, this being resonance