A thin, taut string tied at both ends and oscillating in
Chapter 15, Problem 15.41(choose chapter or problem)
A thin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y1x, t2 = 15.60 cm2 sin 310.0340 rad>cm2x4 sin 3150.0 rad>s2t4, where the origin is at the left end of the string, the x-axis is along the string, and the y-axis is perpendicular to the string. (a) Draw a sketch that shows the standing-wave pattern. (b) Find the amplitude of the two traveling waves that make up this standing wave. (c) What is the length of the string? (d) Find the wavelength, frequency, period, and speed of the traveling waves. (e) Find the maximum transverse speed of a point on the string. (f) What would be the equation y1x,t2 for this string if it were vibrating in its eighth harmonic?
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