Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 18, Problem 3PQ
(a)
To determine
The difference between the two waves given.
(b)
To determine
The resultant wave on the string.
(c)
To determine
The amplitude of the resultant wave.
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Students have asked these similar questions
Two waves travel simultaneously through the same medium. The first wave is described by:
Y1(x,t)=(3.00 cm ) cos [kx-wt] and the second wave by
Y2(x,t)=(3.00 cm)sin(kx-wt)
i) Determine the amplitude of the resulting wave, And interpret the resulting wave in terms of constructive and distructing interference.
Two traveling sinusoidal waves interfere to produce a wave with the mathematical form
y(x,t) = Ym sin(kx +wt + a).
If the value of ø is appropriately chosen, the two waves might be:
A. Y1 (x,t) = (ym/3) sin(kx + wt) and y2(x,t) = (ym/3) sin(kx + wt + ø)
B. y1 (x,t) = 0.7ym sin(kx – wt) and y2(x,t) = 0.7ym sin(kx
C. y1 (x, t) = 0.7ym sin(kx – wt) and y2(x,t) = 0.7ym sin(ka + wt + ø)
D. y1 (x,t) = 0.7ym sin[(kæ/2) – (wt /2)] and y2(x,t) = 0.7ym sin[(kx/2) – (wt/2) + ø]
E. y1(x,t) = 0.7ym sin(kx + wt) and y2(x,t) = 0.7ym sin(kx + wt + o)
- wt + ø)
O y1 = 0.01 sin(5Ttx-40tt); y2 = 0.01 sin(5Tx+40Tt),
%3D
O y1 = 0.005 sin(5tx-40nt); y2 = 0.005 sin(5Ttx+40nt),
Two sinusoidal waves travelling in the same direction with the same amplitude,
wavelength, and speed, interfere with each other to give the resultant wave:
y_res (x,t) = 4 cm sin(4Ttx-60Tt+Tt/3). The amplitude of the individual waves
%3D
generating this wave is:
2 cm
2/v3 cm
8 cm
O 4 cm
O 4/13 cm
ding waye on a wire 1.8m long clamped at
Chapter 18 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 18.1 - As shown in Figure 18.3, two pulses trawling along...Ch. 18.1 - Prob. 18.2CECh. 18.2 - A wave pulse travels to the left on a rope as...Ch. 18.3 - Noise cancellation headphones use a microphone to...Ch. 18.8 - Tuning the Guitar Before a performance, a piano is...Ch. 18 - Prob. 1PQCh. 18 - Two pulses travel in opposite directions along a...Ch. 18 - Prob. 3PQCh. 18 - Prob. 4PQCh. 18 - Prob. 5PQ
Ch. 18 - The wave function for a pulse on a rope is given...Ch. 18 - Prob. 7PQCh. 18 - Prob. 8PQCh. 18 - Prob. 9PQCh. 18 - Prob. 10PQCh. 18 - Prob. 11PQCh. 18 - Two speakers, facing each other and separated by a...Ch. 18 - Prob. 13PQCh. 18 - Prob. 14PQCh. 18 - Prob. 15PQCh. 18 - As in Figure P18.16, a simple harmonic oscillator...Ch. 18 - A standing wave on a string is described by the...Ch. 18 - The resultant wave from the interference of two...Ch. 18 - A standing transverse wave on a string of length...Ch. 18 - Prob. 20PQCh. 18 - Prob. 21PQCh. 18 - Prob. 22PQCh. 18 - Prob. 23PQCh. 18 - A violin string vibrates at 294 Hz when its full...Ch. 18 - Two successive harmonics on a string fixed at both...Ch. 18 - Prob. 26PQCh. 18 - When a string fixed at both ends resonates in its...Ch. 18 - Prob. 28PQCh. 18 - Prob. 29PQCh. 18 - A string fixed at both ends resonates in its...Ch. 18 - Prob. 31PQCh. 18 - Prob. 32PQCh. 18 - Prob. 33PQCh. 18 - If you touch the string in Problem 33 at an...Ch. 18 - A 0.530-g nylon guitar string 58.5 cm in length...Ch. 18 - Prob. 36PQCh. 18 - Prob. 37PQCh. 18 - A barrel organ is shown in Figure P18.38. Such...Ch. 18 - Prob. 39PQCh. 18 - Prob. 40PQCh. 18 - The Channel Tunnel, or Chunnel, stretches 37.9 km...Ch. 18 - Prob. 42PQCh. 18 - Prob. 43PQCh. 18 - Prob. 44PQCh. 18 - If the aluminum rod in Example 18.6 were free at...Ch. 18 - Prob. 46PQCh. 18 - Prob. 47PQCh. 18 - Prob. 48PQCh. 18 - Prob. 49PQCh. 18 - Prob. 50PQCh. 18 - Prob. 51PQCh. 18 - Prob. 52PQCh. 18 - Prob. 53PQCh. 18 - Dog whistles operate at frequencies above the...Ch. 18 - Prob. 55PQCh. 18 - Prob. 56PQCh. 18 - Prob. 57PQCh. 18 - Prob. 58PQCh. 18 - Prob. 59PQCh. 18 - Prob. 60PQCh. 18 - Prob. 61PQCh. 18 - Prob. 62PQCh. 18 - The functions y1=2(2x+5t)2+4andy2=2(2x5t3)2+4...Ch. 18 - Prob. 64PQCh. 18 - Prob. 65PQCh. 18 - Prob. 66PQCh. 18 - Prob. 67PQCh. 18 - Prob. 68PQCh. 18 - Two successive harmonic frequencies of vibration...Ch. 18 - Prob. 70PQCh. 18 - Prob. 71PQCh. 18 - Prob. 72PQCh. 18 - A pipe is observed to have a fundamental frequency...Ch. 18 - The wave function for a standing wave on a...Ch. 18 - Prob. 75PQCh. 18 - Prob. 76PQCh. 18 - Prob. 77PQCh. 18 - Prob. 78PQCh. 18 - Prob. 79PQCh. 18 - Prob. 80PQ
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