vibrations Flashcards
Most of the vibrations in musical instruments and the human voice can be described approximately by
simple harmonic motion
An object will not vibrate if there is no restoring force causing it to want to return to its equilibrium position. If this force is proportional to the distance from equilibrium it is…and obeys Hooke’s law.
linear restoring force
if we double the displacement from equilibrium, the force acting to return the object to the equilibrium position also doubles. If the displacement is one third as big the force is one third as big and so on.
Hookes Law
What if the force is not proportional to the displacement? and does not obey Hookes Law
non-linear force
The simplest of all vibrations occurs when there is a Hooke’s law force and no friction acts. This type of motion is called
simple harmonic motion
If friction acts the motion will gradually stop. This is called
damped harmonic motion
A motion that repeats itself over time is said to be periodic and has… T measured in seconds
period
simple harmonic motion is an example of
periodic motion
The inverse of period is called the … f where f=1/T and is measured in hertz (hz)
frequency
This maximum displacement from equilibrium at a given point is called the
amplitude
This force always acts to push the object back towards its equilibrium position
restoring force
The… tells where we are in a cycle when we start making a time measurement of the motion. measured in radians (2pie=360 degrees)
phase
360 radians
2pie
180 radians
pie
90 radians
pie/2
