# 15.41 . CALC 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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Question source: “University Physics with Modern Physics by Hugh Young and Roger Freedman

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