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PHYS260

  • G1-32: MASS ON SPRING - WITH STAND

    G1-32
    Illustrate SHM.
    Mass moves up and down on spring with top end fixed to stand.
    FS1
  • G1-34: AIR TRACK - SIMPLE HARMONIC MOTION

    G1-34
    Demonstrate simple harmonic motion of a mass held by two springs.
    The center (moveable) glider, connected by springs to two fixed gliders (taped to air track), executes SHM about its equilibrium position when displaced and released. Additional weights can be taped to the oscillating glider to increase its period.
  • G1-35: MASS ON SPRING - EFFICIENT MODEL

    G1-35
    Illustrate the motion of a mass on a spring.
    Just lift mass and release to start oscillations. This one is relatively efficient, so its vibrations last a long time.
    FS2
  • G1-52 STRINGLESS PENDULUM

    G1-52
    Demonstrates an example of SHM
    The ball rolls back and forth in the trough, executing SHM.
    G1
  • G1-60 CHAOS - TWO BIFILAR PENDULA

    G1-60
    Illustrates chaotic motion
    The two pendula are started into apparently identical oscillations, but their motion soon diverges. No matter how closely the motions of the two pendula are started, they eventually must undergo virtually total divergence.

    Eric Neumann has created an online simulation that can be used to model one of the legs of the pendulum. Try experimenting with the simulation as well, and see how sensitive it can be to its initial conditions. https://www.myphysicslab.com/pendulum/double-pendulum-en.html

    G1
  • G2-01 MASS ON SPRING - HAND HELD

    G2-01
    Demonstrates resonance and phase shift at resonance
    The mass on the spring has a natural frequency, which can be demonstrated by simply holding one end of the spring a rest and allowing the mass to oscillate freely. Demonstrate resonance as follows: (1) With the mass hanging at rest, move your hand very slowly up and down. The mass follows your hand, showing that the mass and the driving force stay in phase for driving frequencies far below the natural frequency of the oscillator. (2) With the mass hanging at rest, move your hand very rapidly up and down. The mass moves opposite to your hand, showing that the mass and the driving force stay out of phase for driving frequencies far above the natural frequency of the oscillator. (3) Move your hand up and down at the natural frequency of oscillation; the phase relationship for resonance is that motion of the driver (hand) must be 90 degrees ahead of the motion of the oscillator. With an almost imperceptible oscillation of your hand, the resonance condition causes the mass on spring to begin to oscillate with a very large amplitude.
    G2

    G2-01A

  • G2-05: AIR TRACK - DRIVEN AND DAMPED OSCILLATIONS

    G2-05
    Illustrate the behavior of a driven and damped oscillator.
    A moveable glider, attached by stretched strings to a fixed glider at the left and an oscillator motor at the right, executes SHM when displaced and released. The oscillator can be driven by the variable frequency motor driver and damped by eddy currents by placing a magnet close to the base of the moving glider. The natural frequency of the glider can be changed by adding mass to the glider or by increasing the spring tension.
  • G3-01 SHIVE WAVE MACHINE - TRAVELING WAVES

    G3-01
    Demonstrates traveling waves

    Make sinusoidal waves by moving the spines at one end of the machine up and down sinusoidally, either with your hand or using the wave generator. Vary the amplitude and the frequency and observe the wavelength. You can show semi-quantitatively that the wave speed is approximately the same for all frequencies.
    Background
    The Shive wave machine illustrates transverse waves - the direction of displacement is perpendicular to the direction of transmission. This can be used as a model of many wave phenomena.
    FS0
  • G3-02: SHIVE WAVE MACHINE - SUPERPOSITION OF PULSES

    G3-02
    Demonstrate constructive and destructive interference using pulses.

    Starting identical pulses from both ends simultaneously, either in or out of phase, they can be observed as they pass. For two identical pulses, move your hand rapidly down and up at the center of the machine with the two ends fixed. The two pulses created will reflect off the ends (left photograph) and interfere constructively as they cross each other on their return (right). Repeat this with one end clamped to get a phase reversal of the pulse which reflects off that end.
    Engagement Suggestion
    • This is a good opportunity to bring up one or two volunteers from the class to participate, rather than trying to reach both ends simultaneously yourself.
    • Encourage the class to predict what will happen when the pulses pass each other.
    Background
    In a linear medium like this, two waves moving in opposite directions can be seen to pass through each other. The principle of superposition states that when two mechanical waves pass each other in a medium, the net displacement at any point is the sum of the individual wave displacements.
    Ofc
  • G3-04: SHIVE WAVE MACHINE - STANDING WAVES

    G3-04
    Demonstrate standing waves.

    Standing waves can be generated with either (1) both ends fixed, (2) one end fixed and one end free, or (3) both ends free. You can use either your hand or the motorized drive; your hand possesses better feedback for small adjustments in frequency.
    A metronome is available upon request for comparing the frequencies of various harmonics, or you can time them using the classroom clock or computer.
    Engagement Suggestion
    • Ask students to make predictions before each configuration of the device. Will fixed ends, free ends, or one open and one free end have the longest wavelength fundamental?
    Background
    A standing wave oscillates in time, but the peaks do not travel in space. A standing wave can be created in a mechanical medium of fixed length with an oscillation at that medium's natural frequency, or a multiple thereof.

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  • G3-21 TRANSVERSE WAVES ON A LONG SPRING

    G3-21
    Demonstrates traveling waves

    Clamp the spring to the lecture table and then step back. When you hold the other end with some tension and shake the end with various frequencies, you can illustrate transverse waves traveling along the spring.

    You can move your hand to generate a pulse or wave in the spring. Because of the clamp, the spring acts as a medium with one free end and one fixed end. By changing how far and how fast you move your hand, I can generate different amplitudes and frequencies. If you move my hand farther on each swing, you create a wave with a greater amplitude – the height of each peak is greater. If you move your hand up and down faster, you create a wave with a greater frequency – the number of peaks within a given length is greater.

    With practice, you can also find the natural frequency of the spring and set up standing waves.
    Engagement Suggestion
    • Ask students: “Now that we’ve seen some features of transverse waves, let’s try an experiment. I’m going to send a single upright pulse down the spring. What will happen when it reaches the fixed end? Will it stop entirely, bounce back in the same shape, or bounce back upside-down?”
    • “The pulse returns upside-down!”
    Background
    A transverse wave is one where the direction of oscillation is perpendicular to the direction of propagation. The up-and-down motion of the spring that forms each pulse is at a right angle to the forward movement of the wave. When a transverse pulse reflects off a fixed end, it returns inverted. If instead it had reflected off an open end, it would return upright. We can see this most easily with a single pulse, but this is true of a repeating waveform as well. We see mechanical transverse waves in springs, ropes, and other objects routinely. But another type of transverse wave surrounds us all the time – electromagnetic waves, like light, are transverse waves.
    G3
  • G3-24: SLINKY ON LECTURE TABLE - TRAVELING WAVES

    G3-24
    Show travelling waves.
    One end of the SLINKY is taped to the lecture table while theother end is free to move for creating waves. For best waves do not overextend the SLINKY.
    G3
  • G3-26: AIR TRACK - LONGITUDINAL WAVES

    G3-26
    Demonstrate longitudinal waves with a series of spring-coupled air track gliders.
    Several identical gliders are connected by springs, with the two end gliders fixed or attached by springs to the ends of the air track. Longitudinal waves can be created which reflect off the (fixed) ends, and standing waves can be created in the system.
  • G3-27: AIR TABLE - TRANSVERSE AND LONGITUDINAL WAVES

    G3-27
    Demonstrate transverse and longitudinal waves using an air table.
    Identical pucks are attached by light springs diagonally across the air table. Either transverse or longitudinal waves can be created by hand in this system.
  • G3-28 SUSPENDED SLINKY

    G3-28
    Shows longitudinal and transverse traveling waves & standing waves
    Transverse or longitudinal pulses can be created by appropriate motion of your hand at one end of the SLINKY. Using your hand you can also create transverse standing waves and discuss the overtone series. Gently vibrating one end of the spring (either by hand or using the motor) at the appropriate frequency creates longitudinal standing waves.
    FS1
  • G3-51 ROPE WAVE GENERATOR - FREQUENCY VS. WAVELENGTH

    G3-51
    Shows the relationship between frequency and wavelength for fixed tension cord
    Keeping the tension in the rope fixed (same weight on hook) and raising the frequency creates standing waves with shorter wavelength (more loops).
    FS1
  • G3-52: ROPE WAVE GENERATOR - ROPE TENSION VS WAVELENGTH

    G3-52
    Observe the change in wavelength of a vibrating rope as the tension is varied.
    Set the generator frequency using about 250g to produce 2 loops. Quadrupling the weight increases the wave speed (and thus the wavelength) by about a factor of two, creating one loop, while using about 110 grams creates three loops, two-thirds of the original wavelength. This is Mersenne's second law for stretched strings.
    FS1
  • G3-53 STANDING WAVES IN A STRING

    G3-53
    Demonstrates standing waves on a thin string
    The string is driven by a 60 Hz vibrator with the number of standing wave loops determined by adjusting the tension. Black painted channel is the background for improved visibility.
    OS0, LS1
  • G4-02 RIPPLE TANK

    G4-02
    Illustrates wave phenomena water surface
    This is a large ripple tank which uses an overhead projector as its light source. It is kept on its own cart along with all accessories. Experiments which can be performed with this ripple tank include: Huygens's principle, plane waves and circular waves, single slit diffraction, double slit interference, interference between two sources, reflection and refraction of waves at a boundary, focusing by a concave reflector, focusing by lenses, and the Doppler effect.
    OS7
  • G4-03: RIPPLE TANK - DOPPLER EFFECT

    G4-03
    Show how wave fronts crowd together in front of and spread out behind a moving source.
    The single point source can be moved by rotating the support arm on a lazy susan. Moving the source uniformly in one direction demonstrates the Doppler effect in a clear and understandable way.
    OS7

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