1. Chapter 14 Outline Periodic Motion Oscillations Amplitude, period, frequency Simple harmonic motion Displacement, velocity, and acceleration Energy in simple harmonic motion Pendulums Simple Physical Damped oscillations Resonance

2. Periodic Motion Many types of motion repeat again and again. Plucked string on a guitar, a child in a swing, sound waves in a flute… This is called periodic motion, or oscillation. Stable equilibrium point Displacement from equilibrium leads to a force (or torque) to return it to equilibrium. Kinetic energy leads to overshoot, causing repeat

3. Periodic Motion Notation

4. Simple Harmonic Motion

5. Mass on a Spring

7. Simple Harmonic Motion of a Mass on a Spring

8. Displacement, Velocity and Acceleration

9. SHM Example

10. Energy in Periodic Motion

11. Energy Plots in Periodic Motion

12. Vertical SHM

13. Molecular Vibrations

15. Simple Pendulum

17. Physical Pendulum

19. Physical Pendulum Example

20. Damped Oscillations

21. Underdamped Oscillations

22. Critical and Over-damped Oscillations

23. Forced Oscillations and Resonance If the system is driven at some arbitrary frequency, there will not be much of a response. But, if it is driven near the natural resonance frequency, the response can be quite large.

24. Chapter 14 Summary Periodic Motion