In a demonstration, a 1.2 kg horizontal rope is fixed in place at its two ends (x = 0 and x = 2.0 m) and made to oscillate up and down in the fundamental mode, at frequency 5.0 Hz. At t  0, the point at x = 1.0 m has zero displacement and is moving upward in the positive direction of a y axis with a transverse velocity of 5.0 m/s.What are (a) the amplitude of the motion of that point and (b) the tension in the rope? (c) Write the standing wave equation for the fundamental mode.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter17: Traveling Waves
Section: Chapter Questions
Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...
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In a demonstration, a 1.2 kg horizontal rope is fixed in place at its two ends (x = 0 and x = 2.0 m) and made to oscillate
up and down in the fundamental mode, at frequency 5.0 Hz.
At t  0, the point at x = 1.0 m has zero displacement and is moving upward in the positive direction of a y axis with a transverse
velocity of 5.0 m/s.What are (a) the amplitude of the motion
of that point and (b) the tension in the rope? (c) Write the
standing wave equation for the fundamental mode.

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