A wave travels along a taut string in the positive x-axis
direction. Its wavelength is 40 cm and its speed of propagation
through the string is 80 m / s. The amplitude of the wave is 0.60
cm. At t = 0 the point of the chord at x = 0 is at the point of
maximum oscillation amplitude, y = + A.
a) Write the equation of the wave in the form of sine [y = A sin
(kx ± ωt + φ)], numerically identifying each parameter.
b) What oscillation speed on the y axis does the point of the chord
have at x = 0 at time t = 0.0010 s?
c) If the linear density of the rope is 12 g / m, what is the
tension in the rope?
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