1. Physics 321 Hour 11 Simple and Damped Harmonic Oscillators

2. Bottom Line

3. Exam #1 Reminders (Spring 2015) See Review #1, Sample Test #1, Example Problem Review is Wednesday 5/13 Test is available Thurs. 5/14 – Monday 5/18 Average time will be about 1 hr 15 min

4. Simple Harmonic Oscillator 1)What is the equation of motion? 2)Where is your origin? 3)What is the frequency of oscillation? 4)What are the three ways you can write the general solution? 5)How many constants do you have to fix to get a specific solution? 6)How do you find those constants? x

5. Mass on a Massless Spring y

6. Example VertSpringUWell.nb

7. A Shallow Frictionless Bowl x y z

8. Another Bowl x y z

9. Example Lissajous.nb

10. Damped Oscillator

11. Three Regimes

12. Underdamped

13. Overdamped

14. Critically Damped

15. Example DampOsc5_4.nb