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Physics 104 – Spring 2014 Intro and Harmonic Oscillator Energy

Physics 104 – Spring 2014 Intro and Harmonic Oscillator Energy. Maglev Tour Magnetic force www.win.net/~dorsea/nehager/south/atlanta_maglev.htm Introduction and Syllabus Procedures (same as 103 ) Topics covered Differences with Phy 103 Harmonic Oscillator.

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Physics 104 – Spring 2014 Intro and Harmonic Oscillator Energy

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  1. Physics 104 – Spring 2014Intro and Harmonic Oscillator Energy • Maglev Tour • Magnetic force www.win.net/~dorsea/nehager/south/atlanta_maglev.htm • Introduction and Syllabus • Procedures (same as 103) • Topics covered • Differences with Phy 103 • Harmonic Oscillator American Maglev Technology, Inc. Jan 2011 Powder Springs, GA

  2. Intro and Syllabus Physics 104 General Physics: Thermodynamics, Electromagnetism, Optics Spring 2014 Syllabus • Instructor: Nat Hager, Research Scientist, Physics and Engineering • 173 Masters/Esbenshade (behind mineral gallery) • Email:nehager@msi-sensing.com- also forwards to smartphone. (OK to nag if I don’t reply in a day or 2). • Web: msi-sensing.com/etown.htmor public directory “hagerne” • Phone: Office/Lab 361.1377. Home: 898.3053 before 9:00 PM. Please leave a message. • Office Hours: Monday, Tuesday 1:00 – 2:00 PM • Or by appointment. Please feel free to stop by my lab anytime, if my door is closed please leave a note. • Class Hours: Mon/Tue/Fri 11:00 AM – 12:20 PM • All classes in Nicarry 228. All class periods are the same format. Discussion topics will be covered in all sessions. • Lab: Tue/Fri 2:00 – 3:50 PM • Prerequisites: Physics 103 or equivalent • Textbook: Giancoli, D.C., Physics, Sixth Edition, Prentice Hall, 2004. • Supplemental Texts: Many Resources in the Physics Hideaway in Esbenshade • including: Boyle, J, Study Guide: Physics (Giancoli), Prentice Hall, 2004.

  3. Procedures • Same as Physics 103 • WebAssign (setup) • Quizzes (5) • Exams (3) • Lab • Final • Powerpoints • Equation sheets

  4. Topics • Waves and Sound (Ch. 11-12) • Thermodynamics (Ch. 13-15) • Electricity and Magnetism (Ch. 16-22) • Optics (Ch. 23) We’re trying to cover a lot, so we’ll have to skip around some. (almost never do starred sections)

  5. General Differences with Physics 103 • Use “Energy” in broader context • Kinetic energy of ideal gas. (6.02 x 1023 molecules) • Potential energy stored in chemical bonds (fuel). • Energy stored/carried in EM field. • Anything that can do work! • Define new Forces • Electrostatic • Magnetic • But use same F = ma relations • Reinterpret old concepts • Gravitational Field • Electric Field • Magnetic Field • Develop analogous methods • Flow of fluid (continuity) -> flow of electrical current (Kirchoff)

  6. Simple Harmonic Oscillator • A little Physics 103 • Jumping-off point for Waves

  7. Simple Harmonic Oscillator • Object subject to restoring force around equilibrium: F = - kx • Force proportional to and opposite displacement • Oscillatory motion around equilibrium • Rate determined by mass m and k • Frictional damping • Examples • Block on a spring (car on springs) • Meter stick anchored one end (diving board) • String in guitar (sound wave) • Object bobbing in water • Molecule in crystal lattice

  8. Energy in Harmonic Oscillator • Potential Energy • Work done by expanding spring: • (force x distance) • Looks like decrease in potential energy • Kinetic Energy • Energy gained by block being pushed: • Appears as increase in kinetic energy • Total Energy • Loss of potential = gain in kinetic, vice-versa • Sum of Kinetic and Potential Constant • Limiting points

  9. Harmonic Oscillator Terminology • Cycle – One complete oscillation • Amplitude – x = -A to x = +A • Period – time to make one cycle • Frequency – # cycles per second • Frequency vs. Period • f = 1/T • T = 1/f

  10. Example 11-4 - Part 1 • Vertical - Find spring constant

  11. Example 11-4 - Part 2 • Horizontal - Find total energy • At maximum amplitude A

  12. Example 11-4 - Part 3 • At x=0 - maximum velocity vmax • At x= 0.05 - velocity

  13. Example 11-4 - Part 4 • Maximum acceleration at maximum stretch

  14. Example – Problem 23 • At center point A • Amplitude

  15. Example – Problem 13 • At any point x • Amplitude • Max velocity

  16. Vertical Harmonic Oscillator

  17. Summary - Harmonic Oscillator Energy • At any position • At full amplitude: • At max-velocity midpoint: • Same for all 3, find for one case know it for all. • Find total energy, find one component, subtract for other.

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