The principle of superposition The resultant displacement at

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The principle of superposition The resultant displacement at any point is the sum of

The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky coil spring

The principle of superposition The resultant displacement at any point is the sum of

The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky coil spring

The principle of superposition The resultant displacement at any point is the sum of

The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky coil spring supercrest

The principle of superposition The resultant displacement at any point is the sum of

The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky coil spring supercrest

Two square waves superposing:

Two square waves superposing:

Two square waves superposing:

Two square waves superposing:

Two square waves superposing:

Two square waves superposing:

Superposition of sine waves:

Superposition of sine waves:

Superposition of sine waves:

Superposition of sine waves:

Superposition of sine waves: A square wave can be made up from several sine

Superposition of sine waves: A square wave can be made up from several sine waves of higher frequencies

Phase changes on reflection LONGITUDINAL PULSE TRANSVERSE PULSE

Phase changes on reflection LONGITUDINAL PULSE TRANSVERSE PULSE

Phase changes on reflection LONGITUDINAL PULSE TRANSVERSE PULSE

Phase changes on reflection LONGITUDINAL PULSE TRANSVERSE PULSE

Phase changes on reflection LONGITUDINAL PULSE TRANSVERSE PULSE

Phase changes on reflection LONGITUDINAL PULSE TRANSVERSE PULSE

Phase changes on reflection LONGITUDINAL PULSE TRANSVERSE PULSE

Phase changes on reflection LONGITUDINAL PULSE TRANSVERSE PULSE

Interference effects Two dippers in a ripple tank can cause circular wavefronts to re-inforce

Interference effects Two dippers in a ripple tank can cause circular wavefronts to re-inforce or cancel: Re-inforcement (constructive interference) Cancellation (destructive interference)

Interference effects Two dippers in a ripple tank can cause circular wavefronts to re-inforce

Interference effects Two dippers in a ripple tank can cause circular wavefronts to re-inforce or cancel: Re-inforcement (constructive interference) Cancellation (destructive interference) Coherent sources (of the same frequency and phase relationship) produce a stable interference pattern.

Signal strength x Experiments with microwaves: a) The intensity of the receiver signal decreases

Signal strength x Experiments with microwaves: a) The intensity of the receiver signal decreases with distance from the transmitter. x

Signal strength x Experiments with microwaves: a) The intensity of the receiver signal decreases

Signal strength x Experiments with microwaves: a) The intensity of the receiver signal decreases with distance from the transmitter. b) Microwaves are reflected off metal plates – similar to light on a mirror. x

Signal strength x x Experiments with microwaves: a) The intensity of the receiver signal

Signal strength x x Experiments with microwaves: a) The intensity of the receiver signal decreases with distance from the transmitter. b) Microwaves are reflected off metal plates – similar to light on a mirror. c) Diffraction occurs at each slit (slit width is of similar magnitude to the wavelength)

Regions of reinforcement Experiments with microwaves: a) The intensity of the receiver signal decreases

Regions of reinforcement Experiments with microwaves: a) The intensity of the receiver signal decreases with distance from the transmitter. b) Microwaves are reflected off metal plates – similar to light on a mirror. c) Diffraction occurs at each slit (slit width is of similar magnitude to the wavelength) d) An interference pattern forms with regions of constructive and destructive interference

Regions of reinforcement Experiments with microwaves: a) The intensity of the receiver signal decreases

Regions of reinforcement Experiments with microwaves: a) The intensity of the receiver signal decreases with distance from the transmitter. b) Microwaves are reflected off metal plates – similar to light on a mirror. c) Diffraction occurs at each slit (slit width is of similar magnitude to the wavelength) d) An interference pattern forms with regions of constructive and destructive interference

Regions of reinforcement Regions of cancellation Experiments with microwaves: a) The intensity of the

Regions of reinforcement Regions of cancellation Experiments with microwaves: a) The intensity of the receiver signal decreases with distance from the transmitter. b) Microwaves are reflected off metal plates – similar to light on a mirror. c) Diffraction occurs at each slit (slit width is of similar magnitude to the wavelength) d) An interference pattern forms with regions of constructive and destructive interference

Two loud speakers emitting the same note can cause loud and quiet areas in

Two loud speakers emitting the same note can cause loud and quiet areas in front of the speakers rarefaction compressions

Two loud speakers emitting the same note can cause loud and quiet areas in

Two loud speakers emitting the same note can cause loud and quiet areas in front of the speakers rarefaction compressions Regions of reinforcement (LOUD)

Two loud speakers emitting the same note can cause loud and quiet areas in

Two loud speakers emitting the same note can cause loud and quiet areas in front of the speakers rarefaction When compressions (or rarefactions) arrive in phase from both speakers, constructive interference occurs, creating a loud region compressions Regions of reinforcement (LOUD) Regions of cancellation (QUIET)

Superposition of waves Superposition principle the superposition principleSuperposition of waves Superposition principle the superposition principle
Superposition of Waves Principle of Superposition What happensSuperposition of Waves Principle of Superposition What happens
Click Net Up spin resultant Down spin resultantClick Net Up spin resultant Down spin resultant
Resultant force overall forced resultant force Newton NResultant force overall forced resultant force Newton N
Resultant Forces What effect does an overall resultantResultant Forces What effect does an overall resultant
Accelerated Displacement and Free Fall Displacement Displacement isAccelerated Displacement and Free Fall Displacement Displacement is
Displacement Reactions Single Displacement Reactions Single Displacement reactionDisplacement Reactions Single Displacement Reactions Single Displacement reaction
MEASURING MOTION DISPLACEMENT SPEED AVERAGE SPEED VELOCITY RESULTANTMEASURING MOTION DISPLACEMENT SPEED AVERAGE SPEED VELOCITY RESULTANT
Traveling Waves Superposition Wave Superposition Add the twoTraveling Waves Superposition Wave Superposition Add the two
16 Superposition and Standing Waves Superposition of Waves16 Superposition and Standing Waves Superposition of Waves
Lecture 9 Superposition Superposition Theorem 12 In aLecture 9 Superposition Superposition Theorem 12 In a
Superposition Free SHM EOM Solutions Superposition the sumSuperposition Free SHM EOM Solutions Superposition the sum
Superposition Theorem Objective of Lecture Introduce the superpositionSuperposition Theorem Objective of Lecture Introduce the superposition
Superposition Theorem Superposition theorem is one of theSuperposition Theorem Superposition theorem is one of the
Superposition Free SHM EOM Solutions Superposition the sumSuperposition Free SHM EOM Solutions Superposition the sum
Les relations gomtriques superposition recoupement inclusion Superposition recoupementLes relations gomtriques superposition recoupement inclusion Superposition recoupement
SUPERPOSITION RELATIVE DATING IS NOT EXACT SUPERPOSITION RELATIVESUPERPOSITION RELATIVE DATING IS NOT EXACT SUPERPOSITION RELATIVE
Geologic Time LAW OF SUPERPOSITION Super what SuperpositionGeologic Time LAW OF SUPERPOSITION Super what Superposition
WORKENERGY PRINCIPLE The work of a resultant externalWORKENERGY PRINCIPLE The work of a resultant external
Multiplication Principle and Addition Principle 1 Multiplication PrincipleMultiplication Principle and Addition Principle 1 Multiplication Principle
Uncertainty Principle Uncertainly Principle 1 Uncertainty Principle SummaryUncertainty Principle Uncertainly Principle 1 Uncertainty Principle Summary
The Pigeonhole Principle Pigeonhole principle The pigeonhole principleThe Pigeonhole Principle Pigeonhole principle The pigeonhole principle
Chapter 19 Avogadros Principle Avogadros Principle Avogadros PrincipleChapter 19 Avogadros Principle Avogadros Principle Avogadros Principle
PASCALS PRINCIPLE Bernoullis Principle Pascals Principle In thePASCALS PRINCIPLE Bernoullis Principle Pascals Principle In the