PHYS 224 Introductory Physics III Spring 2008 Prof
- Slides: 19
PHYS 224 - Introductory Physics III - Spring 2008 Prof. J. Vanderlei Martins UMBC Department of Physics
Oscillations and Waves from: http: //www. maths. gla. ac. uk/~fhg/waves 1. html
Interacting Pulses from: http: //www. maths. gla. ac. uk/~fhg/waves 1. html
Interacting Pulses – same direction from: http: //www. maths. gla. ac. uk/~fhg/waves 1. html
Adding Traveling Waves from: http: //www. maths. gla. ac. uk/~fhg/waves 1. html
Adding Traveling Waves from: http: //www. maths. gla. ac. uk/~fhg/waves 1. html
Superposition of Simple Harmonic Motion Beat: Results from adding two harmonic oscillations with similar frequencies. Beat http: //www. kettering. edu/~drussell/Demos/superposition. html
Lissajous Figures: Number of tangents in each axes provides information on the period ratio Figure Credit: http: //en. wikipedia. org/wiki/Lissajous_curve
Simple Pendulum Small angle approximation: sin(q) ~ q How small is small? qo = 15 dg qo = 60 dg http: //www. kettering. edu/~drussell/Demos/Pendulum/Pendula. html
Solutions: Exact: Approximation: Fq = -mg • sin(q) Fq = -mg • q
Comparing Solutions: Up to ~15 degrees initial displacement, the small angle approximation holds well and even after several oscillations the approximate solution compares well with the “exact” solution. For larger angles (e. g. the 60 dgs shown in the simulation, the approximate solution diverges quickly from the “exact” result. Check the link below for simulations: http: //www. kettering. edu/~drussell/Demos/Pendulum/Pendula. html
Waves are the key to sound, color, and much more: • • Rainbow Sunglint Tsnunamis Earthquakes Cel Phone signals Microwave ovens Musical Instruments …
Rainbow Physics http: //hyperphysics. phyastr. gsu. edu/hbase/atmos/raibowcon. html#c 1
Cloud Rainbow observed from space: F-M. Breon, P. Goloub, 1998.
The Sunglint • What is its connection with oscillations and waves?
Sunglint: Windy and Polluted Day Picture by Yoram Kaufman
Sunglint: “Calm and Clean” Day Picture by Yoram Kaufman
http: //deathstar. rutgers. edu/projects/viewnj/pages/STS 066 -150 -074. htm
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