In a demonstration, a 1.2 kg horizontal rope is fixed in place at its two ends (x 0 and

Chapter 16, Problem 91

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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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