March 19

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5.1.  Mechanical Vibrations  and Simple Harmonic Motion
 

• to be able to solve undamped, free equations of motions of mass

• Hooke's Law
• spring constant
• restoring force
• damping force
• simple harmonic motion
• undamped, free case
• period
• natural frequency
• angular frequency

• theoretical development of simple harmonic motion
• determining equation of motion of the mass attached to a spring along with its amplitude, period, and natural frequency, # 1,6

QUESTION OF THE DAY

Find .

SOLUTION

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

SOLUTION.