Physics

Problem

14.11 The transverse displacement of a string (clamped at its both ends) is given by

y(x, t)=0.06 \sin \frac{2 \pi}{3} x \cos (120 \pi t)

where

x

and

y

are in m and

t

in s . The length of the string is 1.5 m and its mass is

3.0 \times 10^{-2} \mathrm{~kg}

. Answer the following: (a) Does the function represent a travelling wave or a stationary wave? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency, and speed of each wave ? (c) Determine the tension in the string.

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