Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 16, Problem 6P
To determine
To find:
The amplitude of the wave
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6 GO A sInusoidal wave travels
0.2
along a string under tension.
Figure 16-31 gives the slopes
x (m)
along the string at time t= 0. The
scale of the x axis is set by x, =
0.80 m. What is the amplitude of
-0.2
Figure 16-31 Problem 6.
the wave?
A transverse wave traveling along an x axis has the fornm
given by
(16-18)
y =y," sin(kx ± ω1 + φ).
Figure 16-8a gives the displacement of string elements as a
function of , al at time0. Figure 16-8h gives the
displacements of the element at x 0 as a function oft. Find
the values of the quantities shown in Eq. 16-18, including the
correct choice of sign.
(min)
10
20
-10
-20
-9
*レ
b)
Asap
Chapter 16 Solutions
Fundamentals of Physics Extended
Ch. 16 - Prob. 1QCh. 16 - Prob. 2QCh. 16 - Prob. 3QCh. 16 - Prob. 4QCh. 16 - Prob. 5QCh. 16 - The amplitudes and phase differences for four...Ch. 16 - Prob. 7QCh. 16 - a If a standing wave on a siring is given by y't =...Ch. 16 - Prob. 9QCh. 16 - If you set up the seventh harmonic on a string, a...
Ch. 16 - Prob. 11QCh. 16 - If a wave yx, t = 6.0mm sinkx 600 rad/st ...Ch. 16 - Prob. 2PCh. 16 - A wave has an angular frequency of 110 rad/s and a...Ch. 16 - Prob. 4PCh. 16 - A sinusoidal wave travels along a string. The time...Ch. 16 - Prob. 6PCh. 16 - A transverse sinusoidal wave is moving along a...Ch. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - The equation of a transverse wave traveling along...Ch. 16 - Prob. 11PCh. 16 - GO The function yx, t = 15.0 cm cosx 15 t, with x...Ch. 16 - Prob. 13PCh. 16 - The equation of a transverse wave on a string is y...Ch. 16 - Prob. 15PCh. 16 - The speed of a transverse wave on a string is 170...Ch. 16 - The linear density of a string is 1.6 104 kg/m. A...Ch. 16 - Prob. 18PCh. 16 - SSM What is the speed of a transverse wave in a...Ch. 16 - The tension in a wire clamped at both ends is...Ch. 16 - ILW A 100 g wire is held under a tension of 250 N...Ch. 16 - A sinusoidal wave is traveling on a string with...Ch. 16 - SSM ILW A sinusoidal transverse wave is traveling...Ch. 16 - Prob. 24PCh. 16 - A uniform rope of mass m and length L hangs from a...Ch. 16 - A string along which waves can travel is 2.70 m...Ch. 16 - Prob. 27PCh. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Prob. 31PCh. 16 - What phase difference between two identical...Ch. 16 - Prob. 33PCh. 16 - Prob. 34PCh. 16 - SSM Two sinusoidal waves of the same frequency...Ch. 16 - Four waves are to be sent along the same string,...Ch. 16 - GO These two waves travel along the same string:...Ch. 16 - Two sinusoidal waves of the same frequency are to...Ch. 16 - Two sinusoidal waves of the same period, with...Ch. 16 - Two sinusoidal waves with identical wavelengths...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - SSM WWW What are a the lowest frequency, b the...Ch. 16 - A 125 cm length of string has mass 2.00 g and...Ch. 16 - Prob. 45PCh. 16 - String A is stretched between two clamps separated...Ch. 16 - Prob. 47PCh. 16 - If a transmission line in a cold climate collects...Ch. 16 - Prob. 49PCh. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - A rope, under a tension of 200 N and fixed at both...Ch. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - GO The following two waves are sent in opposite...Ch. 16 - A standing wave pattern on a string is described...Ch. 16 - A generator at one end of a very long string...Ch. 16 - GO In Fig. 16-42, a string, tied to a sinusoidal...Ch. 16 - GO In Fig. 16-43, an aluminum wire, of length L1 =...Ch. 16 - Prob. 60PCh. 16 - Prob. 61PCh. 16 - Prob. 62PCh. 16 - A wave has a speed of 240 m/s and a wavelength of...Ch. 16 - The equation of a transverse wave traveling alone...Ch. 16 - The equation of a transverse wave traveling along...Ch. 16 - Prob. 66PCh. 16 - Prob. 67PCh. 16 - Prob. 68PCh. 16 - Prob. 69PCh. 16 - Prob. 70PCh. 16 - A transverse sinusoidal wave is generated at one...Ch. 16 - Prob. 72PCh. 16 - Prob. 73PCh. 16 - Prob. 74PCh. 16 - a What is the fastest transverse wave that can be...Ch. 16 - A standing wave results from the sum of two...Ch. 16 - Prob. 77PCh. 16 - Prob. 78PCh. 16 - Prob. 79PCh. 16 - When played in a certain manner, the lowest...Ch. 16 - A sinusoidal transverse wave traveling in the...Ch. 16 - Two sinusoidal waves of the same wavelength travel...Ch. 16 - Prob. 83PCh. 16 - Prob. 84PCh. 16 - Prob. 85PCh. 16 - a Write an equation describing a sinusoidal...Ch. 16 - A wave on a string is described by yx, t = 15.0...Ch. 16 - Prob. 88PCh. 16 - Two waves are described by...Ch. 16 - Prob. 90PCh. 16 - SSM In a demonstration, a 1.2 kg horizontal rope...Ch. 16 - Prob. 92PCh. 16 - A traveling wave on a string is described by...Ch. 16 - Prob. 94PCh. 16 - Prob. 95PCh. 16 - Consider a loop in the standing wave created by...
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- A string with a mass of 0.30 kg has a length of 4.00 m. If the tension in the string is 50.00 N, and a sinusoidal wave with an amplitude of 2.00 cm is induced on the string, what must the frequency be for an average power of 100.00 W?arrow_forward27P. A sinusoidal transverse wave is traveling along a string toward decreasing x. Figure 17-29 shows a plot of the displace- ment as a function of position at time t= 3.6 N, and its linear density is 25 g/m. Find (a) the amplitude, (b) 0. The string tension is the wavelength, (c) the wave speed, and (d) the period of the wave. (e) Find the maximum speed of a particle in the string. (f) Write an equation describing the traveling wave. 6. 4 2. -2 -4 -6 10 20 30 40 50 60 70 80 x (cm) FIGURE 17-29 Problem 27.arrow_forward(a) Write an equation describing a sinusoidal transverse wave traveling on a cord in the positive direction of a y axis with an angular wave number of 60 cm1, a period of 0.20 s, and an amplitude of 3.0 mm. Take the transverse direction to be the z direction. (b)What is the maximum transverse speed of a point on the cord?arrow_forward
- A string can have a "free" end if that end is attached to a ring that can slide without friction on a vertical pole (Fig. 15-40). Determine the wavelengths of the resonant vibrations of such a string with one end fixed and the other free. o dignelovew lloh bi bhs eoh Free end Fixed end 16 FIGURE 15-40 Problem 85. l-arrow_forwardThe amplitude of a wave disturbance M20 (1 positive x-direction is given by y = Tetromabruts esd (1+x)² by y = 1 ad m travelling in the at time t = 0 and [1 + (x − 1)²] - at t = 2 s, where x and y are in metre. The shape of the wave disturbance does not change during the propagation. The velocity of the wave is...... m/s.arrow_forwardI:27)arrow_forward
- .9 A sinusoidal wave mov- ing along a string is shown twice in Fig. 16-33, as crest A travels in the positive direc- tion of an x axis by distance Н d = 6.0 cm in 4.0 ms. The tick marks along the axis are separated by 10 cm; height H = 6.00 mm. The equation for the wave is in the form Figure 16-33 Problem 9. y(x, 1) = ym sin(kx + wt), so what are (a) ym, (b) k, (c) w, and (d) the correct choice of sign in front of w?arrow_forward(d)v = 2ghmax A wave traveling on a string has the following wave function, y(x, t) = Asin(kx + wt + p). At time t = 0, the point x 0 has a displacement of y(0,0) = 0, and is moving in the negative y -direction. Which of the following is true about the phase constant and the wave speed direction? (a) o = "/2, and the wave is moving in the negative x-direction. (b)y = "2, and the wave is moving in the positive x-direction. (c) o = n and the wave is moving in the negative x-direction. (d)g = n and the wave is moving in the positive x-direction. 11) %3D %3D %3D %3D Y (90) = Aswyz) =0 or %3D Ao las(4)arrow_forwardy. 50 For a particular transverse standing wave on a long string, one of the antinodes is at x = 0 and an adjacent node is at x= 0.10 m. The displacement y(t) of the string parti- cle at x = 0 is shown in Fig. 16-40, where the scale of the y axis is set by y, = 4.0 cm. When t = 0.50 s, what is the displacement of the string particle at (a) x = 0.20 m and (b) x = 0.30 m? What is the transverse velocity of the string particle at x = 0.20 m at (c) t = 0.50 s and (d) t = 1.0 s? (e) Sketch the standing wave at t = 0.50 s for the rangex = 0 to x = 0.40 m. 0.5 t (s) 1.5 2,0 Figure 16-40 Problem 50. y (cm)arrow_forwardP 18-28 page-559 Refer to the figure below where the attached mass m hangs from a cord around a pulley, with m= 5.00 kg. The length of the cord between point P and the pulley is L = 2.00 m. The vibrator is set to a frequency of 150 Hz and a standing wave of six loops is formed, as shown in the figure above. (a) Determine the linear mass density of the string. (b) How many loops (if any) will result if the mass m is changed to 45 kg? (c) How many loops (if any) will result if the mass m is changed to 10 kg?arrow_forwardFor a standing wave on a string, the distance between nodes is 0.125 m, the frequency is 256 Hz, and the amplitude is 1.40 * 10-3 m. What are (a) the speed of waves on this string, (b) the maximum transverse velocity at an antinode, and (c) the maximum transverse acceleration at an antinode?arrow_forwardA sinusoidal wave moving in the positive x direction has an amplitude of 15.0 cm, a wavelength of 40.0 cm and a frequency of 5.00 Hz. Determine (a) the velocity of the wave in the string and (b) the angular number of the wave.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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