1. A sinusoidal wave on a string is traveling in the -x-direction (to the left), it has an amplitude of 20 cm, a wavelength of 35 cm, and a frequency of 12 Hz. The transverse position of an element of the medium at t=0, x-0 has maximum displacement ofy%320 cm and is moving downward. (a) Find the wave number, period, angular frequency and the wave speed. (b) Write the wave function y(x) describing the wave. (c) Calculate the maximum transverse velocity of the particle at x = 0 end of the string.

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Chapter1: Units, Trigonometry. And Vectors
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1. A sinusoidal wave on a string is traveling in the -x-direction
(to the left), it has an amplitude of 20 cm, a wavelength of 35
cm, and a frequency of 12 Hz. The transverse position of an
element of the medium at t=0, x=0 has maximum
displacement ofy=20 cm and is moving downward.
(a) Find the wave number, period, angular frequency and the wave speed.
(b) Write the wave function y(x) describing the wave.
(c) Calculate the maximum transverse velocity of the particle at x = 0 end of the string.
(d) Find the transverse acceleration of the particle at x- 10cm and t=0.5 s.
(e) If the tension of the string is 35 N. What is the linear mass density of the string?
Transcribed Image Text:1. A sinusoidal wave on a string is traveling in the -x-direction (to the left), it has an amplitude of 20 cm, a wavelength of 35 cm, and a frequency of 12 Hz. The transverse position of an element of the medium at t=0, x=0 has maximum displacement ofy=20 cm and is moving downward. (a) Find the wave number, period, angular frequency and the wave speed. (b) Write the wave function y(x) describing the wave. (c) Calculate the maximum transverse velocity of the particle at x = 0 end of the string. (d) Find the transverse acceleration of the particle at x- 10cm and t=0.5 s. (e) If the tension of the string is 35 N. What is the linear mass density of the string?
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