Problem 8: A mass M = 2.3 kg is hanging from a long string of length L = 16.2 m and total mass m = 15 kg. A student gives the mass a quick horizontal shake to set up a wave which travels upwards along the string. Part (a) What is the speed of the wave at the bottom of the string, in meters per second? Numeric A numeric value is expected and not an expression. Vh = Part (b) Express the tension of the chain at a height y above the bottom in terms of M, m, and g. Expression: T(y) = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, L, m, M, P, t, y Part (c) What is the speed of the wave, in meters per second, at the top of the string? Numeric : Anumeric value is expected and not an expression. Vt = Part (d) How long does it take, in seconds, for the wave to travel up the string? Numeric : Anumeric value is expected and not an expression. t =

Problem 8: A mass M = 2.3 kg is hanging from a long string of length L = 16.2 m and total mass m = 15 kg. A student gives the mass a quick horizontal shake to set up a wave which travels upwards along the string. Part (a) What is the speed of the wave at the bottom of the string, in meters per second? Numeric A numeric value is expected and not an expression. Vh = Part (b) Express the tension of the chain at a height y above the bottom in terms of M, m, and g. Expression: T(y) = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, L, m, M, P, t, y Part (c) What is the speed of the wave, in meters per second, at the top of the string? Numeric : Anumeric value is expected and not an expression. Vt = Part (d) How long does it take, in seconds, for the wave to travel up the string? Numeric : Anumeric value is expected and not an expression. t =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 14PQ

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Similar questions

When a standing wave is set up on a string fixed at both ends, which of the following statements is true? (a) The number of nodes is equal to the number of antinodes. (b) The wavelength is equal to the length of the string divided by an integer. (c) The frequency is equal to the number of nodes times the fundamental frequency. (d) The shape of the string at any instant shows a symmetry about the midpoint of the string.
The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?
A transverse wave on a string is described by the wave function y=0.120sin(8x+4t) where x and y are in meters and t is in seconds. Determine (a) the transverse speed and (b) the transverse acceleration at t = 0.200 s for an element of the string located at x = 1.60 m. What are (c) the wavelength, (d) the period, and (e) the speed of propagation of this wave?
Two traveling sinusoidal waves are described by the wave functions y1 = 5.00 sin [(4.00x 1 200t)] y2 = 5.00 sin [(4.00x 1 200t 0.250)] where x, y1 and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2? (b) What is the frequency of the resultant wave function?
A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.100 m and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?
At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.
By what factor would you have to multiply the tension in a stretched string so as to double the wave speed? Assume the string does not stretch. (a) a factor of 8 (b) a factor of 4 (c) a factor of 2 (d) a factor of 0.5 (e) You could not change the speed by a predictable factor by changing the tension.
Review. A sphere of mass M = 1.00 kg is supported by a string that passes over a pulley at the end of a horizontal rod of length L = 0.300 m (Fig. P17.15). The string makes an angle = 35.0 with the rod. The fundamental frequency of standing waves in the portion of the string above the rod is f = 60.0 Hz. Find the mass of the portion of the string above the rod. Figure P17.15 Problems 15 and 16.
A sinusoidal wave travels down a taut, horizontal string with a linear mass density of =0.060 kg/m. The magnitude of maximum vertical acceleration of the wave is aymax=0.90 cm/s2 and the amplitude of the wave is 0.40 m. The string is under a tension of FT=600.00 N. The wave moves in the negative x-direction. Write an equation to model the wave.
A source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered to the string is doubled, by what factor does the amplitude change? (a) a factor of 4 (b) a factor of 2 (c) a factor of 2 (d) a factor of 0.707 (e) cannot be predicted
A flute has a length of 58.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other? (a) 148 Hz (b) 296 Hz (c) 444 Hz (d) 591 Hz (e) none of those answers
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)