A sinusoidal transverse wave of wavelength 20 cm travels along a string in the positive

Chapter 16, Problem 11

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A sinusoidal transverse wave of wavelength 20 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 Fig. 16-34 as a function of time t. The scale of the vertical axis is set by ys 4.0 cm. The wave equation is to be in the form y(x, t) ym sin(kx vt f). (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) v, (e) f, (f) the sign in front of v, and (g) the speed of the wave? (h) What is the transverse velocity of the particle at x 0 when t 5.0 s? y (cm)ysyst (s) 0 10

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