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MT II Review-Formulas

MT II Review-Formulas - Physics 40B/001 Midterm Exam II...

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Physics 40B/001 Midterm Exam II, Tuesday, May 15, 2008, 9:40-11:00 AM, Physics 2000 Chapters 13, 14, 15, 16: Pendulums, Buoyancy, Bernoulli’s Equation , Traveling Waves, Standing Waves on Strings, Sound Waves, Intensity, Standing Waves in Pipes, Interference, Beats, Doppler Effect . Focus questions on exam are in Bold Face . Formulas 1. Simple Pendulum ( F T = " mg sin # $ " mg # ) : % = g L , T = 2 & L g T = 2 & % f = 1 T = % 2 & , % = 2 & f 2. Physical Pendulum: T = 2 & I mgd (d is distance from pivot to CM point) 3. Damped Oscillator ( F D = " bv ) : x = Ae " ( b / 2 m ) t cos( % ' t + ) % ' = k m " b 2 m ( ) * + , - 2 4. Forced Oscillator - Resonance : Resonance Frequency % 0 = k m for mass- spring system 5. Transverse Traveling Waves: y = A cos( kx " % t ) Angular Wave Number : k Angular Frequency : % Wavelength : . = 2 & k Period : T = 2 & % Wave Speed of Propagation: v = % k = . T = f . Transverse wave on String: v = F μ Average power transferred by wave : P avg = 1 2 μ F % 2 A 2 6. Superposition of Two Traveling Waves-Same Direction: y = 2 A cos 2 ( ) * + , - cos kx " % t " 2 ( ) * + , - / x = n 2 . , Constructive Interference : n even, Destructive Interference: n odd where = 2 & / x . 7. Superposition of Two Traveling Waves- Opposite Directions (Standing Waves) y = 2 A sin( kx )sin( % t ), Nodes at x n = n . 2 , all n ; Antinodes at
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