Chapter 14 Oscillations - University Of Maryland · Chapter 14 Oscillations Topics: Question: The gibbon will swing more rapidly and move more quickly through the trees if it raises
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Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley.
• Equilibrium, restoring forces, and oscillation
• Mathematical description of oscillatory motion
• Energy in oscillatory motion • Damped oscillations • Resonance
Chapter 14 Oscillations Topics:
Question: The gibbon will swing more rapidly and move more quickly through the trees if it raises its feet. How can we model the gibbon’s motion to understand this observation? Answer: Think about a pendulum: Grandfather’s clock. The longer the arm (l) the longer the period (T) , the longer it takes for the arm to swing from one end to the other. T ~ l
Slide 14-1
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Heartbeat: Electrocardiogram Period/
Frequency
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Vibration of Eardrum
Amplitude/ Resonance
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Swing, Grandfather’s clock: Pendulum Systems
Amplitude: parametric resonance Period: Length and gravity
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Spring-Mass System�
Oscillation: Amplitude, Period / Frequency
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Equilibrium and Oscillation
Slide 14-8
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Linear Restoring Forces and Simple Harmonic Motion
If the restoring force is a linear function of the displacement from equilibrium, the oscillation is sinusoidal—simple harmonic motion.
Slide 14-9
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Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley.
Sinusoidal Relationships
Slide 14-10
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Mathematical Description of Simple Harmonic Motion
Slide 14-11
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