Oscillations Flashcards
Oscillation
Repeated back and forth movements on either side of any equilibrium position
Displacement
The distance of an oscillatior from its equilibrium position
Amplitude
The maximum displacement of an oscillator from its equilibrium position
Define Angular frequency
The rate if change in angular displacement with respect to time
Frequency
The number of complete Oscillations per unit time
Time period
Time taken for one complete Oscillation
One complete Oscillation
The time taken for the oscillator to pass the equilibrium from one side and back again fully from the other side
Simple harmonic motion
A type of Oscillation in which the acceleration of a body is directly proportional to its displacement but acts in the opposite direction
What are the conditions for SHM
1) periodic Oscillations
2) acceleration proportional to displacement
3) acceleration in the opposite direction of its displacement
What is the equation of the acceleration of an object oscillating
a=-w^2x
Displacement equation if x=0 when t=0
X=Xosin(wt)
Displacement equation if x=xo when t=0
X=Xocos(wt)
The speed of an oscillator equation
V=Vocos(wt)
V=±wsquareroot(xo^2 - x^2)
What is the equation of the total energy of a simple harmonic motion
E=1/2mw^2xo^2
Damping
The reduction in energy and amplitude of Oscillations due to resistive forces on the oscillating system
