4.1 Oscillations Flashcards
Simple Harmonic Oscillations
An object continually moving to and fro about a fixed point (the mean position) retracing the same path, following the same time per repeat. (Interchange of kinetic and potential energy)
Period, T
Time taken to complete full oscillation in seconds
Amplitude
Maximum displacement from the equilibrium position
Simple Harmonic Motion
The magnitude of the acceleration of the body displaced away from the equilibrium is proportional to displacement and direction of acceleration towards equilibrium
Simple Harmonic Motion Characteristics
Period and amplitude constant
The period is independent of Amplitude
Displacement, velocity and acceleration are sine or cosine functions of time
Frequency, f
Number of full oscillations per second in Hz
The relation between frequency and period
f = 1/T in Hz
Phase difference, Φ
Φ = shift/T x 360° in degrees
Simple Harmonic Motion Graph Characteristics
Acceleration leads velocity by 90° Velocity leads displacement by 90° Acceleration and displacement are 180° out of phase Displacement lags velocity by 90° Velocity lags acceleration by 90°
Energy Interchange
Internal energy always same as when kinetic increases, potential decreases by the same amount (vice versa)