CH13 Periodic Motion
 

Describing oscillations
Displacement
Restoring force
Amplitude: maximum displacement from equilibrium
Period: time for one cycle
Frequency:      
Angular frequency:
 
 
Simple harmonic motion
When the restoring force is proportional to the displacement from equilibrium, the oscillation is simple harmonic motion.
trial solution:      
     angular frequency independent of amplitude
A is the amplitude and is the initial phase angle (λÏà½Ç)
 
Simple harmonic motion viewed as a projection
Compare a SHM with a uniform circular motion with an angular velocity
Circular motion:     
Projection:     
 
Energy in SHM
 
Vertical SHM
 
Angular SHM-torsion pendulum (Ť°Ú)
Restoring torque:     
 
 
Vibrations of molecules
Lennard-Jones potential:     

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