Continuous String Take limit of h→0 and m/h→ r Wave Equation.

Slides:

Advertisements

Similar presentations

Traveling Waves & Wave Equation

Advertisements

Topic 11 – Wave Phenomena.

J. Pulickeel SPH3U1 January 2010

Waves at Media Boundaries

Chapter 16 4 Superposition 4 and 4 Standing Waves.

Waves_03 1 Two sine waves travelling in opposite directions  standing wave Some animations courtesy of Dr. Dan Russell, Kettering University TRANSVERSE.

Optical Waveguide and Resonator

Lecture 38 Review of waves Interference Standing waves on a string.

ISAT 241 ANALYTICAL METHODS III Fall 2004 D. J. Lawrence

Standing Waves Physics 11. Standing Waves When a wave travels in a medium of fixed length and is either forced at a specific frequency or most of the.

John Cockburn Room E15) PHY 102: Waves & Quanta Topic 4 Standing Waves John Cockburn Room E15)

Reflection and Refraction.  When a wave moves from one medium into another (reaches a boundary) ◦ Speed of the wave changes  More dense  slower  less.

Principle of Superposition Interference Stationary Waves

Chapter 16 Wave Motion.

Wave Motion and Standing Waves Wave pulse traveling down string, striking “fixed” boundary. Wave pulse traveling down string, striking “free” boundary.

~drussell/Demos/supe rposition/superpositio n.html We can invent a solution to the boundary problem by superposing a reflected.

General Physics 2Induction1 Q1 - Standing Waves Tension wave Wave on a string transverse Sound wave Longitudinal Air inside a tube Density of air above.

Phy 212: General Physics II Chapter 16: Waves I Lecture Notes.

Vibrations and Waves Wave Motion Assorted Topics From Chapter 11.

PHYS 218 sec Review Chap. 15 Mechanical Waves.

Ch 9 pages ; Lecture 21 – Schrodinger’s equation.

More Waves!. Intensity Intensity – the rate at which energy flows through a surface Point source outputs a fixed power, say P 0 Watts.

Reflection and Transmission of Waves. When a pulse is produced along a rope or slinky that has a free end, the wave is reflected back along the same side,

Wave Motion & EM Waves (I)

WAVE Basics Chapters 15.

16-6 Wave Speed on a Stretched String

 Universal Wave Equation. A harp string supports a wave with a wavelength of 2.3m and a frequency of Hz. Calculate its wave speed.

Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

Chapter 11:Vibrartions and Waves

Chapter 15 Outline Mechanical Waves

1 Wave Behavior Physics: Chapter 14 Section 2 Mrs. Warren.

Waves Disturbances which travel through space and matter Carry energy and information Sometimes need medium to propagate in (mechanical waves, sound),

Chapter 12 Section 4 Wave Interactions.

1 Reading: Main 9.0, 9.1, 9.3 GEM 9.1.1, Knight Ch 20 BASIC WAVE CONCEPTS.

Wave Interference Physics Ch 12. Sec When two waves come together they can occupy the same space  Superposition – multiple waves occupying the.

For a standing wave to be set up in a string there has to be two waves travelling in it. Explain what has to be the same and what has to be different about.

1 Linear Wave Equation The maximum values of the transverse speed and transverse acceleration are v y, max =  A a y, max =  2 A The transverse speed.

Differential Equations Linear Equations with Variable Coefficients.

If wave 1 displaces a particle in the medium by D 1 and wave 2 simultaneously displaces it by D 2, the net displacement of the particle is simply D 1 +

How do we describe this? 10. Wave Motion. An initial shape… …so can we just let the normal modes oscillate at  n ? No! Because that initial shape can.

Objectives  By the end of this class you should be able to:  State the law of reflection.  State the principle of superposition.  Know whether two.

量子力學導論 Chap 1 - The Wave Function Chap 2 - The Time-independent Schrödinger Equation Chap 3 - Formalism in Hilbert Space Chap 4 - 表象理論.

Reflection and Transmission of string wave. Equation of motion of transverse string-wave.

One-Dimension Wave 虞台文.

The Universal Wave Equation

Electromagnetic Waves in Vacuum

One-Dimension Wave 虞台文.

Boundary-Value Problems in Rectangular Coordinates

Hearing Biomechanics Standing waves.

Principle of Superposition Interference Stationary Waves

Chapter 15: Wave motion.

Vibrations and Waves.

Often, two or more waves are present at the same place and same time

Wave Interactions.

Devil physics The baddest class on campus Ap Physics

Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.

Introduction to physics

Wave Interactions.

Wave Interactions.

11-3: PROPERTIES OF WAVES.

11-3: PROPERTIES OF WAVES.

A THEORETICAL MODEL for MAGNETIC FIELD IMAGING with “SWISS ROLLS” STRUCTURES V. Yannopapas J. B. Pendry M. C. K. Wiltshire J. Hajnal.

1. Does a longitudinal wave, such as a sound wave, have an amplitude ?

Section 14.3 Wave Behavior Objectives

Waves at Boundaries.

Textbook: 14.3 Homework: Worksheet

Wave Interactions 1986 world cup in mexico.

Waves Chapter 11 part 2.

Matthew DeFilippis EPS 109 Fall ‘18

Presentation transcript:

Continuous String Take limit of h→0 and m/h→ r Wave Equation

Solutions to Wave Equation Traveling Wave Solution: Standing Wave Solution:

Normal Modes of Wave on String n= normal mode Can be broken down into a wave traveling + and one traveling –

Initial Conditions - Stationary If string with fixed endpoints is stationary at t=0 :

Other Boundary Conditions Slipping ring Other combinations

Traveling Waves

Traveling Waves (continued)

Reflections Wave functions must satisfy wave equation and boundary condition at end of rope

Wave Equation for Other Variables “Conjugate” variables Other wave equations

Power Transmission

Wave Equations for Other Systems E&M: Sound:

Wave Equation in 3 Dimensions E&M in free space: