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1. Two waves traveling together along the same line are given by Yı = 5 sin(wt + n/2) and y2 = 7 sin(wt + n/3).Find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation of motion.

1. Two waves traveling together along the same line are given by Yı = 5 sin(wt + n/2) and y2 = 7 sin(wt + n/3).Find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation of motion.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. Two waves traveling together along the same line are given by y1 = 5 sin(wt + n/2) and y, = 7 sin(wt + n/3). Find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation of motion. 2. Two waves traveling together along the same line are represented by y, = 25 sin(wt - n/4) and y, = 15 sin(wt – n/6). Find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation for the sum of the two motions. 3. Three simple harmonic motions are given by y, = 2 sin(at – 30°), y2 = 5 sin(at + 30°), and y3 = 4 sin(wt + 90°). If they are added together, find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation of motion. 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:1. Two waves traveling together along the same line are given by y1 = 5 sin(wt + n/2) and y, = 7 sin(wt + n/3). Find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation of motion. 2. Two waves traveling together along the same line are represented by y, = 25 sin(wt - n/4) and y, = 15 sin(wt – n/6). Find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation for the sum of the two motions. 3. Three simple harmonic motions are given by y, = 2 sin(at – 30°), y2 = 5 sin(at + 30°), and y3 = 4 sin(wt + 90°). If they are added together, find (a) the resultant amplitude, (b) the initial phase angle of the resultant, and (c) the resultant equation of motion. 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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