A sinusoidal transverse wave of wavelength 24.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by y, = 3.00 cm. The wave equation is to be in the form of y = Ym sin(kx - wt + p). (a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine function? What are (b) ym, (c) k, (d) w, (e) ¤, (f) the sign in front of w, and (g) the wave speed (speed of the wave along the string) and (h) What is the transverse velocity of the particle at x = 0 when t 4.00 s? y (cm) (s)

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Chapter16: Waves
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Problem 111P: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...
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parts (d)-(f)

A sinusoidal transverse wave of wavelength 24.0 cm travels along a string in the positive direction
of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of
time t. The scale of the vertical axis is set by y, = 3.00 cm. The wave equation is to be in the form of
y = Ym sin(kx - wt + ¢).
(a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine
function? What are (b) ym, (c) k, (d) w, (e) p, (f) the sign in front of w, and (g) the wave speed (speed
of the wave along the string) and (h) What is the transverse velocity of the particle at x = 0 whent
= 4.00 s?
(cm)
i (s)
10
-Ys
Transcribed Image Text:A sinusoidal transverse wave of wavelength 24.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by y, = 3.00 cm. The wave equation is to be in the form of y = Ym sin(kx - wt + ¢). (a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine function? What are (b) ym, (c) k, (d) w, (e) p, (f) the sign in front of w, and (g) the wave speed (speed of the wave along the string) and (h) What is the transverse velocity of the particle at x = 0 whent = 4.00 s? (cm) i (s) 10 -Ys
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