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PHYS16 – Lecture 32

PHYS16 – Lecture 32. Simple Harmonic Motion November 29, 2010. Exam Answers. Question 1 – Lift of Plane. Use Bernoulli to calculate lift Use Newton’s laws. Question 2 – Height of sky and ocean . Height of sky given constant density Height of sky given that density changes

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PHYS16 – Lecture 32

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  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: • Quadrupled • Doubled • Unchanged • Halved • 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: • the mass is doubled? • k is quadrupled? • 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

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