{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

7Creview

# 7Creview - SHM Wave basics Interference Interference...

This preview shows pages 1–5. Sign up to view the full content.

SHM Wave basics Interference Interference summary Standing waves Ray optics Ray optics summary Thin lenses Thin lens summary Gravity Gravitational field Gravitational force Acceleration due to gravity Gravitational potential energy Electrostatics Fields and forces Potential and potential energy Field lines Equipotentials Dipoles Magnetostatics Fields and forces Magnetic field line Right Hand Rule #1 Right Hand Rule #2 Dipoles Induction Electromagnetism Polarization Quantum mechanics De Broglie wavelength Particle in a box Harmonic oscillator Photons Hydrogen atom Line spectra Pauli exclusion principle 1 Saturday, 13 March 2010

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Conditions for SHM * Must have an equilibrium * Must have a restoring force when displaced from equilibrium * Force must take the form Simple Harmonic Motion (SHM) m Equilibrium Equilibrium F = ma = k ( y y 0 ) where y 0 is equilibrium y is the current position k is a constant characteristic of the system. For a mass spring system k is the spring constant, for a pendulum k = mg/L y-y0 y-y0 y-y0 y ( t ) = A sin 2 π T t + φ 0 + y 0 A “amplitude”: max. displacement t “time” φ 0 “fixed phase”: tells us about initial conditions T “period”: time to repeat Motion described by f = 1 2 π k m , T = 1 f = 2 π m k indep of A, phi 0 TOC 2 Saturday, 13 March 2010
Wave basics TOC y ( x, t = 3 s ) λ Amplitude To describe a wave we need An amplitude A A period T A fixed phase constant φ 0 A direction ( ± ) A wavelength λ A wave speed v = λ f = λ /T x (m) t (s) y ( x = 1 . 5 m, t ) period period WRONG!!! y ( x, t ) = A sin( Φ ( x, t )) + y 0 where Φ ( x, t ) = 2 π T t ± 2 π λ x + φ 0 Note: pick x constant – then you just have SHM with “constant phase” φ 0 ± 2 π λ x Amplitude This case: y ( x, t ) = (3 m ) sin 2 π 6 s t + 2 π 4 m x + π 4 See if you can show it from the graphs! 3 Saturday, 13 March 2010

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Waves-Interference TOC Source 1 Source 2 d x 1 x 2 x point of interest General goal: Figure out if the interference will be constructive, destructive or partial at the “point of interest”. Strategy: Look at the di ff erence in total phase ∆Φ = Φ 2 Φ 1 . We have three cases: ∆Φ = (even) π – constructive ∆Φ = (odd) π – destructive ∆Φ = (integer) π – partial Tool: Phase chart, which lists all sources of total phase.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern