EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 8220100654428
Author: Jewett
Publisher: Cengage Learning US
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Chapter 16, Problem 16.5CQ
If you steadily shake one end of a taut rope three limes each second, what would be the period of the sinusoidal wave set up in the rope?
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2) BOATING. A buoy,, bobbing up and down in the water as waves pass it,, moves from its
highest point (at x=0) to its lowest point, and back to its highest point every 10 seconds. The
distance between its highest point and its lowest point is 3 feet.
-3
-2
2 3 4 5 6 7 89 10 11 12 13 14 15 16 17 18 19 20 21
1
(a) Determine the amplitude and period of a sinusoidal function that models the bobbing
buoy.
Period: to scors
Amplitude:
(b) What is the midline/vertical shift of the function?
(c) What is the phase shift for the cosine function?
(d) What is the phase shift for the sine function?
(e) Write an equation of a sinusoidal function that models the bobbing buoy, using x= 0 as its
highest point.
Cosine: >= |, 5 CoscEx
Sine: nxt 2
A rope has a mass of 2 kg and a length of 10 m. It is stretched with a tension of 50 N and fixed at both ends. What is the frequency of the first harmonic on this rope?
1- (a) for the vibratory system shown below, calculate the natural frequency and period given
N
N
K1= 100- -, K2= 200- -, K3= 150- K4 100-
mm
mm
mm
mm
,K5= 150-
m = 100 kg
mm
(b) if a sinusoidal varying force Q = 50 sin wt (N); if w = 47 rad/s is applied to the mass as shown, what
would be the amplitude of vibration?
9-0
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Chapter 16 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 16 - Prob. 16.1QQCh. 16 - A sinusoidal wave of frequency f is traveling...Ch. 16 - The amplitude of a wave is doubled, with no other...Ch. 16 - Suppose you create a pulse by moving the free end...Ch. 16 - Which of the following, taken by itself, would be...Ch. 16 - If one end of a heavy rope is attached to one end...Ch. 16 - Prob. 16.2OQCh. 16 - Rank the waves represented by the following...Ch. 16 - By what factor would von have to multiply the...Ch. 16 - When all the strings on a guitar (Fig. OQ16.5) are...
Ch. 16 - Which of the following statements is not...Ch. 16 - Prob. 16.7OQCh. 16 - Prob. 16.8OQCh. 16 - The distance between two successive peaks of a...Ch. 16 - Prob. 16.1CQCh. 16 - (a) How would you create a longitudinal wave in a...Ch. 16 - When a pulse travels on a taut string, does it...Ch. 16 - Prob. 16.4CQCh. 16 - If you steadily shake one end of a taut rope three...Ch. 16 - (a) If a long rope is hung from a ceiling and...Ch. 16 - Why is a pulse on a string considered to be...Ch. 16 - Does the vertical speed of an element of a...Ch. 16 - In an earthquake, both S (transverse) and P...Ch. 16 - A seismographic station receives S and P waves...Ch. 16 - Ocean waves with a crest-to-crest distance of 10.0...Ch. 16 - At t = 0, a transverse pulse in a wire is...Ch. 16 - Two points A and B on the surface of the Earth are...Ch. 16 - A wave is described by y = 0.020 0 sin (kx - t),...Ch. 16 - A certain uniform string is held under constant...Ch. 16 - A sinusoidal wave is traveling along a rope. The...Ch. 16 - For a certain transverse wave, the distance...Ch. 16 - Prob. 16.9PCh. 16 - When a particular wire is vibrating with a...Ch. 16 - The string shown in Figure P16.11 is driven at a...Ch. 16 - Consider the sinusoidal wave of Example 16.2 with...Ch. 16 - Prob. 16.13PCh. 16 - (a) Plot y versus t at x = 0 for a sinusoidal wave...Ch. 16 - A transverse wave on a siring is described by the...Ch. 16 - A wave on a string is described by the wave...Ch. 16 - A sinusoidal wave is described by the wave...Ch. 16 - A sinusoidal wave traveling in the negative x...Ch. 16 - (a) Write the expression for y as a function of x...Ch. 16 - A transverse sinusoidal wave on a string has a...Ch. 16 - Review. The elastic limit of a steel wire is 2.70 ...Ch. 16 - A piano siring having a mass per unit length equal...Ch. 16 - Transverse waves travel with a speed of 20.0 m/s...Ch. 16 - A student taking a quiz finds on a reference sheet...Ch. 16 - An Ethernet cable is 4.00 in long. The cable has a...Ch. 16 - A transverse traveling wave on a taut wire has an...Ch. 16 - A steel wire of length 30.0 m and a copper wire of...Ch. 16 - Why is the following situation impossible? An...Ch. 16 - Tension is maintained in a string as in Figure...Ch. 16 - Review. A light string with a mass per unit length...Ch. 16 - Prob. 16.31PCh. 16 - In a region far from the epicenter of an...Ch. 16 - Transverse waves are being generated on a rope...Ch. 16 - Sinusoidal waves 5.00 cm in amplitude are to be...Ch. 16 - A sinusoidal wave on a string is described by die...Ch. 16 - A taut tope has a mass of 0.180 kg and a length...Ch. 16 - A long string carries a wave; a 6.00-m segment of...Ch. 16 - A horizontal string can transmit a maximum power...Ch. 16 - The wave function for a wave on a taut siring is...Ch. 16 - A two-dimensional water wave spreads in circular...Ch. 16 - Prob. 16.41PCh. 16 - Prob. 16.42PCh. 16 - Show that the wave function y = eb(x vt) is a...Ch. 16 - Prob. 16.44PCh. 16 - Prob. 16.45APCh. 16 - The wave is a particular type of pulse that can...Ch. 16 - A sinusoidal wave in a rope is described by the...Ch. 16 - The ocean floor in underlain by a layer of basalt...Ch. 16 - Review. A 2.00-kg I Jock hangs from a rubber cord,...Ch. 16 - Review. A block of mass M hangs from a rubber...Ch. 16 - A transverse wave on a sting described by the wave...Ch. 16 - A sinusoidal wave in a string is described by the...Ch. 16 - Review. A block of mass M, supported by a string,...Ch. 16 - An undersea earthquake or a landslide can produce...Ch. 16 - Review. A block of mass M = 0.450 kg is attached...Ch. 16 - Review. A block of mass M = 0.450 kg is attached...Ch. 16 - Prob. 16.57APCh. 16 - Prob. 16.58APCh. 16 - A wire of density is tapered so that its...Ch. 16 - A rope of total mass m and length L is suspended...Ch. 16 - Prob. 16.61APCh. 16 - Prob. 16.62APCh. 16 - Review. An aluminum wire is held between two...Ch. 16 - Assume an object of mass M is suspended from the...Ch. 16 - Prob. 16.65CPCh. 16 - A string on a musical instrument is held under...Ch. 16 - If a loop of chain is spun at high speed, it can...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- If you were to shake the end of a taut spring up and down 10 times a second, what would be the frequency and the period of the sinusoidal wave produced on the spring?arrow_forwardA taut tope has a mass of 0.180 kg and a length of. 3.60 m. What power must be .supplied to the rope so as generate sinusoidal waxes having an amplitude of 0.100 in and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?arrow_forwardAn aluminum rod is clamped one-fourth of the way along its length and set into longitudinal vibration by a variable-frequency driving source. The lowest frequency that produces resonance is 4 400 Hz. The speed of sound in an aluminum rod is 5 100 m/s. Determine the length of the rod.arrow_forward
- A stretched string fixed at each end has a mass of 40.0 g and a length of 8.00 m. The tension in the string is 49.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (b) What is the vibration frequency for this harmonic?arrow_forwardAn archer shoots an arrow horizontally from the center of the string of a bow held vertically. Alter the arrow leaves it, the string of the bow will vibrate as a superposition of what standing-wave harmonics? (a) It vibrates only in harmonic number 1, the fundamental. (b) It vibrates only in the second harmonic. (c) It vibrates only in the odd-numbered harmonics 1, 3, 5, 7,. . . . (d) It vibrates only in the even-numbered harmonics 2, 4, 6, 8. . . . .(e) ft vibrates in all harmonics.arrow_forwardBy what factor would you have to multiply the tension in a stretched string so as to double the wave speed? Assume the string does not stretch. (a) a factor of 8 (b) a factor of 4 (c) a factor of 2 (d) a factor of 0.5 (e) You could not change the speed by a predictable factor by changing the tension.arrow_forward
- A diver on a diving board is undergoing simple harmonic motion. Her mass is 55.0 kg and the period of her motion is 0.800 s. The next diver is a male whose period of simple harmonic oscillation is 1.05 s. What is his mass if the mass at the board is negligible?arrow_forwardReview. A block of mass M = 0.450 kg is attached to one end of a cord of mass m = 0.003 20 kg: the other end of the cord is attached to a fixed point. the block rotates with constant angular speed = 10.0 rad/s in a circle on a frictionless, horizontal table as shown in Figure p16.55. What time interval is required for a transverse wave to travel along the string from the center of the circle to the block?arrow_forwardFour people, each with a mass of 72.4 kg, are in a car with a mass of 1 130 kg. An earthquake strikes. The vertical oscillations of the ground surface make the car bounce up and down on its suspension springs, but the driver manages to pull off the road and stop. When the frequency of the shaking is 1.80 Hz, the car exhibits a maximum amplitude of vibration. The earthquake ends and the four people leave the car as fast as they can. By what distance does the cars undamaged suspension lift the cars body as the people get out?arrow_forward
- Engineering Application: A suspension bridge oscillates with an effective force constant of 1.00108N/m. (a) How much energy is needed to make it oscillate with an amplitude of 0.100 m? (h) It soldiers march across the bridge with a cadence equal to the bridge’s natural frequency and impart 1.00104J of energy each second, how long does it take for the bridge's oscillations to go from 0.100 m to 0.500 m amplitude?arrow_forwardA small object is attached to the end of a string to form a simple pendulum. The period of its harmonic motion is measured for small angular displacements and three lengths. For lengths of 1.000 m, 0.750 m, and 0.500 m, total time intervals for 50 oscillations of 99.8 s, 86.6 s, and 71.1 s are measured with a stopwatch, (a) Determine the period of motion for each length, (b) Determine the mean value of g obtained from these three independent measurements and compare it with the accepted value, (c) Plot T2 versus L and obtain a value tor g from the slope of your best-fit straight-line graph. (d) Compare the value found in pan (c) with that obtained in pan (b).arrow_forwardThe wave is a particular type of pulse that can propagate through a large crowd gathered at a sports arena (Fig. P13.54). The elements of the medium are the spectators, with zero position corresponding to their being seated and maximum position corresponding to their standing and raising their arms. When a large fraction of the spectators participates in the wave motion, a somewhat stable pulse shape can develop. The wave speed depends on peoples reaction time, which is typically on the order of 0.1 s. Estimate the order of magnitude, in minutes, of the time interval required for such a pulse to make one circuit around a large sports stadium. State the quantities you measure or estimate and their values.arrow_forward
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