Two waves having amplitudes of 5 and 8 units and equal frequencies come together at a point in space. If they meet with a phase difference of 57/8 rad, find the resultant intensity relative to the sum of the two separate intensities.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Superposition And Standing Waves
Section: Chapter Questions
Problem 50CP
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Two waves having amplitudes of 5 and 8 units and equal frequencies come together at a point in space. If they meet with a phase difference of 57/8 rad, find the resultant intensity relative to the sum of the two separate intensities.
Homework
1. Two waves traveling together along the same line are given by y1
5 sin(@t + n/2) and y2 = 7 sin(@t + 1/3). Find (a) the resultant
amplitude, (b) the initial phase angle of the resultant, and (c) the
resultant equation of motion.
%3D
2. Two waves traveling together along the same line are represented
by y1
= 25 sin(wt – T/4) and y2
resultant amplitude, (b) the initial phase angle of the resultant, and
(c) the resultant equation for the sum of the two motions.
= 15 sin(wt – T/6). Find (a) the
3. Three simple harmonic motions are given by y1 = 2 sin(wt – 30°),
Y2 = 5 sin(wt + 30°), and y3 = 4 sin(wt + 90°). If they are added
together, find
of the resultant, and (c) the resultant equation of motion.
the resultant amplitude, (b) the initial phase angle
4. Two waves having amplitudes of 5 and 8 units and equal
frequencies come together at a point in space. If they meet with a
phase difference of 57/8 rad, find the resultant intensity relative to
the sum of the two separate intensities.
30
Transcribed Image Text:Homework 1. Two waves traveling together along the same line are given by y1 5 sin(@t + n/2) and y2 = 7 sin(@t + 1/3). Find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation of motion. %3D 2. Two waves traveling together along the same line are represented by y1 = 25 sin(wt – T/4) and y2 resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation for the sum of the two motions. = 15 sin(wt – T/6). Find (a) the 3. Three simple harmonic motions are given by y1 = 2 sin(wt – 30°), Y2 = 5 sin(wt + 30°), and y3 = 4 sin(wt + 90°). If they are added together, find of the resultant, and (c) the resultant equation of motion. the resultant amplitude, (b) the initial phase angle 4. Two waves having amplitudes of 5 and 8 units and equal frequencies come together at a point in space. If they meet with a phase difference of 57/8 rad, find the resultant intensity relative to the sum of the two separate intensities. 30
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