Lecture 4 - Chap 13:1-4 Simple Harmonic Motion Review...

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April 10, 2008 Physics 40B Lecture 4 1 Chap. 13:1-4 Simple Harmonic Motion Escape Velocity: Period for Circular Orbit: Kepler’s 3 rd Law for Planets: Elliptical Orbits: a = semimajor axis, b = semiminor axis, is eccentricity, 2ea = distance between two foci, Perihelion is distance of closest approach to Sun, Aphelion is most distant point on ellipse from the Sun. v escape = 2 Gm R Velocity for Circular Orbit: v circle = Gm R T = 2 " r 3 2 Gm Total Energy for Circular Orbit: E = # Gm 1 m 2 2 r T 2 = a 3 T in Earth years, a = semimajor axis in AU e = 1 " b 2 a 2 Review
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April 10, 2008 Physics 40B Lecture 4 2 Simple Harmonic Motion (SHM) A = amplitude x max = +/- A ω in radians/s T = period (time between one complete oscillation) T = 2 π / f = 1/T = frequency in cps or Hz = 2 f f = /2 Example: FM Radio Station at f = 100 MHz T = 1/f = 1/(1x10 8 Hz) = 1x10 -8 s = 10 ns Periodic Motion A See MP Activ Physics 9.2, 9.3 (and more) on Vibration
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April 10, 2008 Physics 40B Lecture 4 3 SHM--Mass (m) and Spring (k) x = 0 is equilibrium position-no oscillation
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Lecture 4 - Chap 13:1-4 Simple Harmonic Motion Review...

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