(1) Using an appropriate trig identity or two (sin (A + B), sin (A + π),...
(1) Using an appropriate trig identity or two (sin (A + B), sin (A + π), sin A+ sin B, eg), write an expression for a superposition of the following waves. (a) Two waves with amplitude 2 meters overlap. They both have zero phase shift, and they are traveling in the same direction. One of them has a wavelength of 3 meters and freqIKxey 5 11%. The oi,her has a wavelculnih of 5 1ncion; and 3 Ik. (b) Two waves...
Two waves traveling on a string in the same direction both have a frequency of 100 Hz, a wavelength of 2 cm, and an amplitude of 0.06 m. What is the amplitude of the resultant wave if the original waves differ in phase by each of the following values? (a) π/6 cm (b) π/3 cm
Two waves traveling on a string in the same direction both have a frequency of 100 Hz, a wavelength of 2 cm and an amplitude of 0.02 m. What is the amplitude of the resultant wave if the original wave differ in phase by: π/6 π/3 What is the phase difference between the waves if the amplitude of the resultant wave is 0.02 m, the same as the original wave?
Two identical traveling waves, moving in the same direction, are out of phase by π/1 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves?
no 1 and 2
Homework 3A: Standing Waves 1. Two waves propagate in one direction on a stretched rope. The frequency of the waves is 120 Hz. Both have the same amplitude of 4 cm and wavelength of 0.04 m. (a) Determine the amplitude of the resultant wave if the two original waves differ in phase by Tm/3? (b) What is the phase difference between the two waves if the amplitude of the resultant wave is 0.05 cm? 2. Two...
Two waves having the same frequency, wavelength, and amplitude are traveling in the same direction. If they differ in phase by π/2 and each has an amplitude of 0.060 m, what is the amplitude of the resultant wave? cm
Two traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x − 1125t)] y2 = 4.80 sin [π(4.10x − 1125t − 0.250)] where x, y1, and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2?
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one period starting with the phase shift. (No need to sketch the graph)
e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one...
A string oscillates according to the equation y´ = (0.529 cm) sin[(π/6.0 cm-1)x] cos[(42.4 π s-1)t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.64 cm when t = 1.18 s?