8. The equation of a transverse wave travelling in a rope is given by y = 60 cos÷(0.005x – 8.0t – 0.57), 2 in which x and y are expressed in centimeters andt in seconds. Write down the equation of a wave that when added to the given one, would produce standing waves on the rope|

8. The equation of a transverse wave travelling in a rope is given by y = 60 cos÷(0.005x – 8.0t – 0.57), 2 in which x and y are expressed in centimeters andt in seconds. Write down the equation of a wave that when added to the given one, would produce standing waves on the rope|

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 19P

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

8. The equation of a transverse wave travelling in a rope is given by
y :
= 60 cos (0.005x – 8.0t – 0.57),
2
in which x and y are expressed in centimeters and t in seconds. Write down the equation
of a wave that when added to the given one, would produce standing waves on the rope.

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