|
ID/Type |
Web Link or WA Question Code |
Local download |
Launch from browser |
Description |
|
L16PL |
L16PL-01 |
standing-wave-string-harmonics.iwp |
standing-wave-string-harmonics.iwp |
The first four harmonics of a vibrating spring are shown. The points that do not move are the nodes, and the points having the greatest vertical motion are the antinodes. There is a node at each end. The distance between 2 adjacent nodes is half a wavelength. For each harmonic, the equilibrium position of the spring is shown by a light, gray line. |
|
L16 |
Standing Waves on a Helical Spring |
standing-wave-string-harmonics.iwp |
standing-wave-string-harmonics.iwp |
The first four harmonics of a vibrating spring are shown. The points that do not move are the nodes, and the points having the greatest vertical motion are the antinodes. There is a node at each end. The distance between 2 adjacent nodes is half a wavelength. For each harmonic, the equilibrium position of the spring is shown by a light, gray line. |
|
L16 |
Standing Waves on a Helical Spring |
standing-wavelength.iwp |
standing-wavelength.iwp |
For the standing wave shown, points a, c, e, g, and i are nodes. Points b, d, f, and h are antinodes. Note that the distance from c to g is one complete wavelength. This includes 3 nodes and 2 antinodes. (Alternatively, the distance from b to f is one complete wavelength. This includes 3 antinodes and 2 nodes.) The distances ac, ce, eg, and gi are all equal. Thus, the distance cg, which is one wavelength, is half of the distance ai. If we represent the latter as the length L of the medium, then the wavelength of this standing wave is L/2. (Alternatively, we could say that there are two complete wavelengths in the length of the medium.) |
|
P21 |
Standing
Waves in Pipes |
standing-wave-harmonics-open.iwp |
standing-wave-harmonics-open.iwp |
The first four harmonics of a pipe open at both ends are shown. The blue lines represent the displacement of the medium from equilibrium as a function of the horizontal position along the pipe. The ends of the pipe are displacement antinodes. Note that while the representation is that of a transverse wave, sound waves are in actuality longitudinal. The vertical axis represents the longitudinal displacement of the medium from its equilibrium position. |
|
P21 |
Standing
Waves in Pipes |
standing-wave-harmonics-closed.iwp |
standing-wave-harmonics-closed.iwp |
Four consecutive harmonics of a pipe open at one end and closed at the other are shown. The blue lines represent the displacement of the medium from equilibrium as a function of horizontal position along the pipe. The right end is the open end. |
|
O.14.1 |
Standing Waves on a Plucked String |
plucked-cord.iwp |
plucked-cord.iwp |
This animation represents waves on a string plucked at its center. The yellow line is the actual waveform that would appear. This can be thought of as the superposition of two waves (blue and red) that separate after t = 0, moving in opposite direcitons with equal speed, frequency, and wavelength. At any time, the sum of the blue and red waves is the yellow wave. |
|
M11 |
Traveling Waves |
trav-wave-3.iwp |
trav-wave-3.iwp |
Consider the following model of a linear medium such as a string: a chain of point masses joined by light, strong threads. Traveling waves of constant frequency and wavelength are generated on the medium. The motion of the wave is to the right while the motions of the point masses are vertical. Two particles are marked different colors than the rest. You can display y vs. t graphs of their motion by clicking Show graph. |
|
M12 |
Doppler Effect |
doppler4.iwp |
doppler4.iwp |
A source of point spherical waves moves along the x-axis at constant velocity. The current position of the source is indicated by a red dot. Note that the spacing of the dark, vertical grid lines is 200 m. Determine the period of the wave, the velocity of the wave, the velocity of the source, the frequency perceived by an observer at the right edge of the screen, and the frequency perceived by an observer at the left edge of the screen. |
|
M12 |
Doppler Effect |
doppler5.iwp |
doppler5.iwp |
A source of point spherical waves moves along the x-axis at constant velocity. The current position of the source is indicated by a red dot. The spacing of the dark, vertical grid lines is 200 m. Determine the Mach number of the source. |
|
E.14.01 |
APB-14-01-01tut |
trav-wave-4.iwp |
trav-wave-4.iwp |
A vertical rod is attached to one end of a string and oscillated at a constant frequency. This produces a transverse wave that travels to the right along the string. The red dots represent selected mass elements of the string to show that the medium oscillates vertically even as the wave travels horizontally.
Determine the amplitude, wavelength, frequency, and speed of the wave as well as the tension in the string. The linear density of the string is given as an output. |
|
E.14.01 |
APB-14-01-06 |
pulse-compare-01.iwp |
pulse-compare-01.iwp |
The upper pane shows a pulse moving to the right on a string while the lower pane shows a pulse moving to the left. If the two pulses move in strings of the same linear density, how do the tensions in the strings compare? |
|
E.14.01 |
APB-14-01-07 |
pulse-compare-02.iwp |
pulse-compare-02.iwp |
The upper pane shows a pulse moving to the right on a string while the lower pane shows a pulse moving to the left. If the tension in the two strings is the same, how do the linear densities of the strings compare? |
|
E.14.01 |
APB-14-01-08 |
pulse-compare-03.iwp |
pulse-compare-03.iwp |
The upper pane shows a pulse moving to the right on a string while the lower pane shows a pulse moving to the left. If the linear density of the upper string is twice that of the lower string, how do the tensions in the two strings compare? |
|
E.14.03 |
APB-14-03-07 |
standing-wave-02.iwp |
standing-wave-02.iwp |
A string is oscillated at the left side of the screen and is clamped in place at the right side. The horizontal distance between the ends of the string at equilibrium is 19.0 m. The linear density of the string, the tension in the string, and the frequency of oscillation can be selected. The gray line is the equilibrium position of the string.
In order that a standing wave pattern of a given number of antinodes be maintained with the hand having a minimal amount of vertical displacement, that is, being at the position of a node, what must the frequency be to the nearest 0.01 Hz? |
|
E.14.04v2 |
APB-14-04-07 |
beats.iwp |
beats.iwp |
Run the applet to view the waves. The blue and green waves are superimposed to produce the red wave. When the frequencies are nearly the same, beats are produced. Determine the frequencies of the green and blue waves. Also determine the beat frequency. Note that the x-axis is a time axis. In order to spread out the waves for easier viewing, click on the Window tab above and change the value of X Max to something smaller. |
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beats-02.iwp |
beats-02.iwp |
Run the applet to view the waves. The blue and green waves are
superimposed to produce the red wave. When the frequencies are nearly the same,
beats are produced. The gray lines show the envelope of the beat.
The horizontal axis represents time. To change the time scale, click the Window
tab and change the value of X max. For finer time intervals and smoother plots,
click the Time tab and change the Step time to a smaller value. When making
changes under either the Window or Time tabs, be sure to click Apply. Then Reset
the applet and Run. |