.9 A sinusoidal wave mov-ing along a string is showntwice in Fig. 16-33, as crest Atravels in the positive direc-tion of an x axis by distanceНd = 6.0 cm in 4.0 ms. Thetick marks along the axis areseparated by 10 cm; heightH = 6.00 mm. The equationfor the wave is in the formFigure 16-33 Problem 9.y(x, 1) = ym sin(kx + wt), sowhat are (a) ym, (b) k, (c) w, and (d) the correct choice of sign infront of w?

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Answered: .9 A sinusoidal wave mov- ing along a…

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 94P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...

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Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?
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Two strings are attached between two poles separated by a distance of 2.00 meters as shown in the preceding figure, both strings have a linear density of 1=0.0025 kg/m, the tension in string 1 is 600.00 N and the tension in string 2 is 700.00 N. Transverse wave pulses are generated simultaneously at opposite ends of the strings. How much time passes before the pulses pass one another?
A string is under tension FT1. Energy is transmitted by a wave on the string at rate P1by a wave of frequency f1. What is the ratio of the new energy transmission rate P2to P1if the tension is doubled?
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Two transverse waves travel along the same taut string and interfere. Waves 1 and 2 are described, respectively, by the function y1(x, t) = A sin(kx - ωt) and y2(x, t) = A cos(3kx + 3ωt). The phases (arguments of the sine and cosine functions) are in radians, as usual, and A = 7.9 cm, k = 5.1 rad/m, ω = 3.2 rad/s. d. For A = 7.9 cm, k = 5.1 rad/m, and ω = 3.2 rad/s, calculate the total displacement of the string, in centimeters, at the position x = 3.8 m at time t = 8.2 s.
Two sinusoidal waves, identical except for phase, travel inthe same direction along a string, producing the net wavey(x, t) = (3.0 mm) sin(20x - 4.0t+ 0.820 rad), with x in metersand t in seconds.What are (a) the wavelength l of the two waves,(b) the phase difference between them, and (c) their amplitude ym?
For Practice Questions 19 - 21: Consider two waves meet in space, y1 = 2 cos(0.05nx - 200nt), and y2 = 2 cos (0.05nx + 200nt). 19. Find the resultant wave form. Hint: use Cos a+ Cos B = 2Cos[( a+B) /2]Cos[(a-B) /2]a. y = 4 sin 200nt sin 0.05nxc. y = 4 cos 200nt sin 0.05nxb. y = 4 cos 200nt cos 0.05nxd. y = 4 sin 200nt cos 0.05nx
A transverse wave is described by the wave functiony=(0.06 ?) sin[(24rad/s) t + (8.5m-1) x ]. Find the (a) amplitude, (b) angular frequency, (c) frequency, (d) period, (e) wavelength and (f) speed of the wave.
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The equation of a transverse traveling wave on a string is given by y =0.0025 sin [300π t +5πx],mDetermine its frequency, velocity, wavelength and period

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