-8 O Figure 16-32 shows the trans- verse velocity u versus time t of the point on a string at x = 0, as a wave passes through it. The scale on the ver- tical axis is set by u, = 4.0 m/s. The inkr - uf - d What thes is e (Caution: A calculator does not always give the proper inverse trig function, so check your answer by substituting it and an assumed value of o into y(x, 1) and then plotting the function.) Figure 16-32 Problem 8.

-8 O Figure 16-32 shows the trans- verse velocity u versus time t of the point on a string at x = 0, as a wave passes through it. The scale on the ver- tical axis is set by u, = 4.0 m/s. The inkr - uf - d What thes is e (Caution: A calculator does not always give the proper inverse trig function, so check your answer by substituting it and an assumed value of o into y(x, 1) and then plotting the function.) Figure 16-32 Problem 8.

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)...

See similar textbooks

Similar questions

A standing wave with wavelength A = 1.2 m and frequency f = 80 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y,max) = 2t m/s. The amplitude A of %3D each of the individual waves producing the standing wave is:
1
A standing wave on a stretched string fixed at both ends is described by: y(x,t) = O.1 sin(2Ttx) cos(100rtt). The string has a length L = 1 m. For t > 0, an element on the string located at x = 0.75 cm would have a zero speed for the first time at:
The wavefunction of a mechanical wave on a string is described by: y(x,t) = 0.012cos(TEx-100Ttt-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 %3D is: O None of the listed -0.6v3Tt m/s +0.6v3Tt m/s O +0.6Tt m/s O -0.6t m/s
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
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.
A standing wave has the following wave-function: y(x.t) = 0.2 sin(2Ttx) cos(12Ttt), where x and y are in meters, and t is in seconds. If the length of the string is L = 2 m and it is fixed at both ends, then the harmonic, n, in which the string is vibrating is:
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
The equation of a simple harmonic progressive wave is given by Y = 5 sin %3D 8t 20 t - 40 where the quantities are in S.I. | units. Calculate the wavelength, period and velocity of the wave.
A standing wave has the following wave-function: y(x,t) = 0.2 sin(3rtx) cos(12nt), where x and y are in meters, and t is in seconds. If the length of the string is L= 2 m and it is fixed at both ends, then the harmonic, n, in which the string is vibrating is: O n = 6 n = 5 n = 2 n = 4 On=3
(a) The wavefunction of a wave on a string is y(r, t) = 0.35 sin ( 7(10t - 3x + ( where r and y are in metres and t in seconds. (i) Show that y(x, t) is the superposition of two waves, i.e. one can write y(x, t) = g(r, t) + h(x, t), where you need to find wavefunctions g and h. Given that the linear mass density of the string is 0.075 kg m-1, find (ii) the average rate at which energy is transmitted along the string; and (iii) the energy contained in each cycle of the wave.