.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?

Answered: Image /qna-images/answer/4d2c9396-6a09-42df-8fda-daf79199f296.jpg

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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M1 M2 .25 A uniform rope of mass m and length L hangs from a ceiling. (a) Show that the speed of a trans- verse wave on the rope is a function of y, the distance from the lower end, and is given by v = Vgy. (b) Show that the time a transverse wave takes to travel the length of the rope is given by t = 2VLIg. (6) Figure 16-36 Problem 24.
The wavefunction of a mechanical wave on a string is described by: y(x.t) = 0.012cos(TtX-100rtt+2rt/3), where x and y are in meters and t is in seconds. The transverse velocity of an element on the string at the left end (x = 0), at time t = 0 is: O None of the listed O -0.6v3Tt m/s -0.6n m/s +0.6m m/s +0.6 3m m/s
95 A continuous traveling wave with amplitude A is incident on a boundary. The continuous reflection, with a smaller amplitude B, travels back through the incoming wave. The resulting interference pattern is displayed in Fig. 16-51. The standing wave ratio is defined to be A + B А - В SWR = The reflection coefficient R is the ratio of the power of the reflected wave to the Amax Amin Anax power of the incoming wave and is thus proportional to the ratio (BIA). What is the SWR for (a) total reflection and (b) no reflection? (c) For SWR = 1.50, what is R expressed as a percentage? Figure 16-51 Problem 95.
15 MCQS The wavefunction of a mechanical wave on a string is described by: y(x,t) = 0.012cos(TtX-100Ttt-2Tt/3), where x and y are in meters and t is in seconds. The transverse velocity of an element on the string at the left end (x = 0), at timet= 0 %3D is: O +0.6v3n m/s O -0.6m m/s O -0.6v3t m/s None of the listed O +0.6Tt m/s
66 Figure 16-44 shows the dis- placement y versus time t of the point on a string at x= 0, as a wave passes through that point. The scale of the y axis is set by y, = 6.0 mm. The wave is given by y(x, t) = ym sin(kx – wt + 4). What is 4? (Caution: A calculator does not always give the proper inverse trig function, so check your answer by substituting it and an assumed value of w into y(x, 1) and then plotting the function.) y (mm) Figure 16-44 Problem 66.
The wavefunction of a mechanical wave on a string is described by: y(x,t) = 0.012cos(tx-100rtt+2rt/3), where x and y are in meters and t is in seconds. The transverse velocity of an element on the string at the left end (x = 0), at timet- 0 is: O +0.6n m/s O-06 3T m/s O-0.6m m/s O None of the listed +0.6 3t m/s O O O O
The wavefunction of a mechanical wave on a string is described by: y(x,t) = 0.012cos(TTX-100rtt-2t/3), where x and y are in meters and t is in seconds. The transverse velocity of an element on the string at the left end (x = 0), at time t = 0 is: O +0.6n m/s O None of the listed O -0.6v3n m/s O -0.6n m/s O +0.6v3n m/s
(1r) Now we can solve the PDE using the series solution u(x, t) B₁ Solve the wave equation with fixed endpoints and the given initial displacement and velocity. 8² u ?х2 = || = n=1 The coefficients A and B are Fourier coefficients are given by An An +Bn 81- 8²u Ət² 0 0 u(0, t) = 0, u(π, t) = 0,t> 0 u(x,0) = 1⁄2 x (x² − x²) du Ət It 0 = 0,0
i need the answer quickly
90 A certain transverse sinu- soidal wave of wavelength 20 cm is moving in the positive direc- I (s) tion of an x axis. The transverse velocity of the particle at x = 0 as a function of time is shown in Fig. 16-49, where the scale of the vertical axis is set by u, = 5.0 cm/s. What are the (a) wave speed, (b) amplitude, and (c) frequency? (d) Sketch the wave between x = 0 and x = 20 cm at t = 2.0 s. Figure 16-49 Problem 90. u (cm/s)
The displacement of a string carrying a traveling sinusoidal wave is given by y(x,t) Ymsin(kx-wt-cp) At time to the point at x = 0 has velocity vo and displacement yo. The phase constant p is given by tang: Ovo/wyo O wv0/yo ⒸwY0/v0 Ⓒyo/wv0 Ⓒwvoyo
&6

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