1. PHYS16 – Lecture 32 Simple Harmonic Motion November 29, 2010

2. Exam Answers

3. Question 1 – Lift of Plane Use Bernoulli to calculate lift Use Newton’s laws

4. Question 2 – Height of sky and ocean Height of sky given constant density Height of sky given that density changes Height of ocean given constant density

5. Question 3 – Car performance Power of car Torque of car (4 wheels)

6. Question 3 – Car performance Rpm of engine Torque on wheels

7. Question 4 – Answer is 42 Time for ball to tunnel through Earth Distance to geostationary orbit

8. Question 4 – Answer is 42 Time for low orbit satellite to go ½ around Earth Height of object on Ganymede

9. Question 5 – Swing set John jumps on Merry-go-round Balancing multiperson see-saw

10. Question 5 – Swing set Mass of kid on tippy bridge

11. Outline for Oscillations Simple Harmonic Motion – Position, Velocity, Acceleration – Force – Energy Waves – Mechanical waves – Intensity and Power – Superposition and Interference – Standing Waves

12. Simple Harmonic Motion: Position, Velocity, Acceleration

13. Oscillations and Periodic Motion http://img.tfd.com/ggse/c9/gsed_0001_0012_0_img2993.png

14. Simple Harmonic Motion Equilibrium Point 1) About Equilibrium 2) Periodic 3) Sinusoidal http://www.gailruby.com/Picture4.png

15. Examples Mass on a Spring Pendulum Snowboarder in halfpipe Bungee jumper Child on swing Bobble head doll?

16. SHM Position, Velocity, Acceleration http://www.tutornext.com/system/files/u89/Chapter%2011-3.gif

17. Example Question What is the max speed and when does it occur? Equilibrium Point

18. Example Question An object undergoes simple harmonic motion. If the amplitude and period are doubled, the object’s max speed is: A)Quadrupled B)Doubled C)Unchanged D)Halved E)Quartered

19. Simple Harmonic Motion: Restoring Force

20. Restoring Force Force that always points back to the equilibrium position k is just a constant – for a spring it is the spring constant http://www.cs.wright.edu/~jslater/SDTCOutreachWebsite/images/gif/spring_mass_dia.gif

21. SHM – Restoring Force

22. Example Question A block on a spring has a period of T. What is the period if: A)the mass is doubled? B)k is quadrupled? C)A is doubled?

23. Example Question What is the period of a pendulum? http://upload.wikimedia.org/wikipedia/en/thumb/a/a8/Pendulum.png/300px-Pendulum.png

24. Simple Harmonic Motion: Energy

25. Energy in SHM http://www.farraguttn.com/science/milligan/APPhys/SHMOver_files/image022.jpg

26. Main Points - SHM Movement Restoring Force creates oscillation Energy is dependent on amplitude