A thin taut string is fixed at both ends and stretched along the horizontal x-axis with its left end at x = 0
It is vibrating in its third OVERTONE, and the equation for the vertical displacement of any point on the string is y(x,t) = (1.22 cm) sin[(14.4 m-1)x] cos[(166 rad/s)t].
(a) What are the frequency and wavelength of the fundamental mode of this string?
(b) How long is the string?
(c) How fast do waves travel on this string?
What will be an ideal response?
Answer: (a) 6.60 Hz, 1.75 m (b) 0.873 m (c) 11.5 m/s
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Fill in the blank(s) with the appropriate word(s).
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