Figure 6-6 shows displaceme curves for two sinusoidal waves for motion at a particular position on a string. On the graph plot the complex wave formed hu the sum (or superposition) of the two sinusoidal versus time waves. 3. 2 -1 -2 -3 L... 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 TIME (seconds) Two sinusoidal waves to be FIGURE 6-6 uperimposed on a string. HEIGHT (inches) Questions 1 through 6 are based on Figure 6-6. You should do the problem suggested at the figure. 1. What is the frequency of the wave represented by the solid curve? a) 12.5 Hz b) 10 Hz c) 25 Hz d) 50 Hz e) none of these 2. What is the amplitude of the wave represented by the solid curve? a) 1 in * b) 2 in c) 3 in d) 4 in e) none of these 3. What is the frequency of the wave represented by the dashed curve? a) 12.5 Hz b) 10 Hz c) 25 Hz d) 50 Hz e) none of these

Figure 6-6 shows displaceme curves for two sinusoidal waves for motion at a particular position on a string. On the graph plot the complex wave formed hu the sum (or superposition) of the two sinusoidal versus time waves. 3. 2 -1 -2 -3 L... 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 TIME (seconds) Two sinusoidal waves to be FIGURE 6-6 uperimposed on a string. HEIGHT (inches) Questions 1 through 6 are based on Figure 6-6. You should do the problem suggested at the figure. 1. What is the frequency of the wave represented by the solid curve? a) 12.5 Hz b) 10 Hz c) 25 Hz d) 50 Hz e) none of these 2. What is the amplitude of the wave represented by the solid curve? a) 1 in * b) 2 in c) 3 in d) 4 in e) none of these 3. What is the frequency of the wave represented by the dashed curve? a) 12.5 Hz b) 10 Hz c) 25 Hz d) 50 Hz e) none of these

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 92P: Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x3s1t)...

See similar textbooks

Similar questions

Consider two waves defined by the wave functions y1(x,t)=0.50msin(23.00mx+24.00st) and y2(x,t)=0.50msin(26.00mx24.00st) . What are the similarities and differences between the two waves?
A transverse wave on a string is modeled with the wave function y(x,t)=(0.20cm)sin(2.00m1x3.00s1t+16) . What is the height of the string with respect to the equilibrium position at a position x=4.00m and a time t=10.00s ?
Consider two wave functions y(x,t)=0.30cmsin(3m1x4s1t) and y(x,t)=0.30cmsin(3m1x+4s1t) . Write a wave function for the resulting standing wave.
Consider two wave functions that differ only by a phase shift, y1(x,t)=Acos(kxt) and y2(x,t)=Acos(kxt+) . Use the trigonometric cosu+cosv=2cos(uv2)cos(u+v2) and cos()=cos() to find a wave equation for the wave resulting from the superposition of the two waves. Does the resulting wave function come as a surprise to you?
Consider the following figure. The length of the string between the string vibrator and the pulley is L=1.00 m. The linear density of the string is =0.006 kg/m. The string vibrator can oscillate at any frequency. The hanging mass is 2.00 kg. (a)What are the wavelength and frequency of n=6 mode? (b) The string oscillates the air around the string. What is the wavelength of the sound if the speed of the sound is vs=343.00 m/s?
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
A swimmer in the ocean observes one day that the ocean surface waves are periodic and resemble a sine wave. The swimmer estimates that the vertical distance between the crest and the trough of each wave is approximately 0.45 m, and the distance between each crest is approximately 1.8 m. The swimmer counts that 12 waves pass every two minutes. Determine the simple harmonic wave function that would describes these waves.
A string is tied between two lab posts a distance L apart. The tension in the string and the linear mass density is such that the speed of a wave on the string is v=343 m/s. A tube with symmetric boundary conditions has a length L and the speed of sound in the tube is v=343 m/s. What could be said about the frequencies of the harmonics in the string and the tube? What if the velocity in the string were v=686 m/s ?
Consider the graph in the preceding problem of a compression wave. Shown are snapshots of the wave function for t=0.000 s (blue) and t=0.005 s (orange). Given that the displacement of the molecule at time t=0.00 s and position x=0.00 m is s(0.00m,0.00s)=1.08mm , derive a wave function to model the compression wave.
If a piece of ribbon were tied to a stretched string carrying a transverse wave, then how is the ribbon observed to oscillate? (6.2) (a) perpendicular to wave direction (b) parallel to wave direction (c) neither (a) nor (b) (d) both (a) and (b)
Check Your Understanding The equations for the wavelengths and the frequencies of the modes of a wave produced on a string: n=2nLn=1,2,3,4,5...andn=nv2L=nf1n=1,2,3,4,5... were derived by considering a wave on a string where there were symmetric boundary conditions of a node at each end. These modes resulted from two sinusoidal waves with identical characteristics except they were moving in opposite directions, confined to a region L with nodes required at both ends.Will the same equations work if there were symmetric boundary conditions with antinodes at each end? What would the normal modes look like for a medium that was free to oscillate on each end? Don’t worry for now if you cannot imagine such a medium, just consider two sinusoidal wave functions in a region of length L, with antinodes on each end.
A string with a length of 4 m is held under a constant tension. The string has a linear mass density of =0.006 kg/m. Two resonant frequencies of the string are 400 Hz and 480 Hz. There are no resonant frequencies between the two frequencies. (a) What are the wavelengths of the two resonant modes? (b) What is the tension in the string?