Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9.1, Problem 1aT
A piece of yarn has been attached to the spring. How did the motion of the yarn compare to the motion of the pulse for each type of pulse that you observed?
The terms transverse or longitudinal are often used to describe the types of pulses you have observed in the demonstration. To what feature of a pulse do these terms refer?
For the rest of this tutorial we will focus on transverse pulses along the spring.
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule02:15
Students have asked these similar questions
Mac and Tosh stand 8 meters apart and demonstrate the motion of a transverse wave on a string. The wave can be described as having a vertical distance of 32 cm from a trough to a crest, a frequency of 3.4 Hz, and a horizontal distance of 48 cm from a crest to the nearest trough. Determine the amplitude, wavelength, and speed of such a wave. Show all of your work and explain your steps for solving the problem
I. For the following problems, set up the differential equation that describes the motion under
the assumption of this section. Solve the differential equation. State whether the motion of
the spring system is harmonic, damped oscillation, critically damped oscillation, or
overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form.
4. A spring with spring constant k = 12 slug/s has a mass attached that stretches the spring
2-2/3 ft. The damping coefficient is 7 slug/s. The mass is pushed i ft above the rest
position and then released with a velocity of 1 ft/s downward.
Introduction to Two-Source Interference
Learning Goal:
To gain an understanding of constructive and destructive interference.
Consider two sinusoidal waves (1 and 2) of identical wavelength A, period T, and
maximum amplitude A. A snapshot of one of these waves taken at a certain time is
displayed in the figure below. (Figure 1) Let y₁ (z, t) and y2 (x, t) represent the
displacement of each wave at position at time t. If these waves were to be in the same
location (2) at the same time, they would interfere with one another. This would result in a
single wave with a displacement y (z, t) given by
y(z, t)= y(x, t) + y2(x, t).
This equation states that at time t the displacement y (x, t) of the resulting wave at
position z is the algebraic sum of the displacements of the waves 1 and 2 at position z at
time t. When the maximum displacement of the resulting wave is less than the amplitude of
the original waves, that is, when ymax A.
the waves are said to interfere constructively because the…
Chapter 9 Solutions
Tutorials in Introductory Physics
Ch. 9.1 - A piece of yarn has been attached to the spring....Ch. 9.1 - During the demonstration, did any of the following...Ch. 9.1 - During the demonstration, each of the following...Ch. 9.1 - Prob. 2aTCh. 9.1 - Prob. 2bTCh. 9.1 - Prob. 3aTCh. 9.1 - Prob. 3bTCh. 9.2 - Describe what happens after the pulse reaches the...Ch. 9.2 - Compare the speed of a pulse in one spring to the...Ch. 9.2 - In answering the questions below, assume that each...
Ch. 9.2 - Prob. 2aTCh. 9.2 - Prob. 2bTCh. 9.2 - Prob. 3aTCh. 9.2 - Prob. 4aTCh. 9.2 - Which of the following quantities are different on...Ch. 9.2 - Prob. 4cTCh. 9.3 - Prob. 1aTCh. 9.3 - Prob. 1bTCh. 9.3 - Prob. 1cTCh. 9.3 - Prob. 1dTCh. 9.3 - Prob. 1eTCh. 9.3 - Prob. 2aTCh. 9.3 - Prob. 2bTCh. 9.3 - Prob. 2cTCh. 9.3 - Prob. 2dTCh. 9.3 - Each of the diagrams at right shows a ray incident...Ch. 9.3 - Does the ray representing a wave always “bend”...Ch. 9.4 - Shown below are mathematical and pictorial...Ch. 9.4 - Three light waves are represented at right. The...Ch. 9.4 - Write an expression for the force exerted on a...Ch. 9.4 - Imagine that the electromagnetic wave in section I...Ch. 9.4 - Prob. 3aTCh. 9.4 - Suppose that the electric field in a light wave...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The plot of electric potential energy of the system as a function of the angle θ .
Physics (5th Edition)
(II) At $0.095/kWh, what does it cost to leave a 25-W porch light on day and night for a year?
Physics for Scientists and Engineers with Modern Physics
Choose the best answer to each of the following. Explain your reasoning. Look at the dot for Jupiter in Figure ...
Cosmic Perspective Fundamentals
The enthalpy of combustion of a gallon (3.8 liters) of gasoline is about 31,000 kcal. The enthalpy of combustio...
An Introduction to Thermal Physics
A Carnot engine is used to measure the temperature of a heat reservoir. The engine operates between the heat re...
University Physics Volume 2
Express the unit vectors in terms of (that is, derive Eq. 1.64). Check your answers several ways Also work o...
Introduction to Electrodynamics
Knowledge Booster
Learn more about
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
- I. For the following problems, set up the differential equation that describes the motion under the assumption of this section. Solve the differential equation. State whether the motion of the spring system is harmonic, damped oscillation, critically damped oscillation, or overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form. 5. A long spring wiun spring constant k = 8 g/s² has a mass attached that stretches the spring 245 cm. the damping coefficient is 8 = 8 g/s. At time t = 0, the mass is at equilibrium position and has a velocity of 3 cm/s downward. SS %3Darrow_forwardLastly, from part 1, pendulum lab, we clearly would need to set the bob swinging from some angle along with considering other parameters (set up) for our experiment. With that, lets think about some follow-up questions. a. Does the period of a pendulum depend on starting angle? why or why not? b. Does the period of pendulum depend on mass? why or why not? c. Is the ratio of length to period always a guarantee for a value of g? explain. d. Using the predictive model that was obtained for both f(L) and T(L), determine the period at lengths 35 cm, 40 cm, and 45 cm. Be sure to take exp(f(L)) for the exact period. e. What is the general conclusion of the period obtained for other lengths?arrow_forwardThe diagram below shows the position-time graph for a mass that is oscil- lating vertically on the end of a spring. The mass is shown superimposed on the graph at three different instants during a single cycle. Check page one of the lab for a similar graph that might be helpful. a. Draw the forces acting on the mass at each of those positions. Make sure the length of the force vectors give the relative magnitude of the forces at those positions. b. Draw the velocity vectors next to each block to show the direction and relative magnitude of the velocity at each position. C. Draw the acceleration vectors next to each block to show the direction and relative magnitude of the accel- eration at each position. A 2 TIME- What is the direction of the net force at position 1? What direc- tion is the acceleration? Give an explanation by comparing the size of the spring force and weight at position 1. d. +X 0 -X -A Figure 10-9 1arrow_forward
- Consider the history graph of a sinusoidal oscillation at onepoint in space shown in the figure below. What is the amplitude of the oscillation? What is the period of the oscillation? What is the frequency of the oscillation? If this oscillation is described by D(x,t) = Asin(kx – wt + f0) and thepoint in space is x = 0, what is the phase constant?arrow_forwardUnits point, the resultant amplitude is determined by the principle of superposition. ) Whle down the purpose of the experiment. b) What is the independent variable? e) What is the dependent variable? How will Zodidi determine this? a) Define this principle. b) Each diagram in the table shows two pulses approaching each other in a uniform medium. Draw diagrams to show the pulses during superposition as well as after superposition. Indicate the amplitude and direction of propagation. Give the name of the phenomenon that occurs during superposition in each diagram. d) Why is it important to keep the tension in the slinky the same? e) Formulate a suitable conclusion for the experiment. Before superposition During superposition After superposition Phenomenon 5 cm 2. iv) 1. -1 -2 vii) vii) ix)arrow_forwardA pulse is moving toward the end of a spring with a speed of 80 cm/s. It is not known whetherthe end is a fixed end or a free end.The diagrams below show the shape of the pulse at t = 0 s and at t = 1 s.Is the end of the spring a free end or a fixed end? Explain. If there is not enough information,state so explicitly.Write your explanation on paper and support your explanation with a clear diagram.arrow_forward
- Read and analyze each word problem and give what is/are required. Write the detailed solution If possible, express your final answer in the form u(t)= Rcos(@,t – 8). 2. A spring is stretched 3 in by a 5-Ib weight. Let the weight be pulled down 4 in below equilibrium and then given an upward velocity of 8 fps. Describe the motion, then find the maximum displacement of the motion.arrow_forwardA standing wave is established in a snakey as shown in the diagram at the right. The distance from point A to point B is known to be 4.69 meters. When not being vibrated as a standing wave, a single pulse introduced into the medium at point A will travel to the opposite end and back in 2.70 seconds. Determine the vibrational frequency of the wave pattern.arrow_forwardWhich of the graphs to the left correspond to each of the two initial waves you were given? You may find it helpful to plot these graphs on your own. If you do it by hand, you will gain even more insight. 1.) the graph that corresponds to y2( amplitude =1, wavelength =4, frequency =1 , and wave velocity =4)? 2.) the graphs the correspond to y1( amplitude =1, wavelength =2, frequency =1 and wave velocity =2)? 3.) the graphs that correspond to superposition of y1 and y2?arrow_forward
- P and S waves from an earthquake travel at different speeds, and this difference helps locate the earthquake "epicenter" (where the disturbance took place). Part A Assum-ing typical speeds of 8.6 km/s and 5.3 km/s for P and S waves, respectively, how far away did an earthquake occur if a particular seismic station detects the arrival of these two types of waves 1.5 min apart? Express your answer to two significant figures and include the appropriate units. Ax = Submit μA Value Provide Feedback Request Answer Units ? Next >arrow_forwardPlease provide details about your resolution process. Please show complete, organized and correct work for each question. Questions without complete and clear work will earn no points. You’re welcome to use your textbook and notes, but no calculators. One way to tune a piano is to strike a tuning fork (which emits only one specific frequency), then immediately strike the piano key for the frequency being sounded by the fork, and listen for beats. If the frequency of an out-of-tune A4string is 420.0 Hz, and a tuner strikes an A4 tuning fork (frequency 440.0 Hz),a. …what beat frequency will the tuner hear?a) ????? = _____________________b. …and what frequency note will the tuner hear?b) ????? = _____________________arrow_forwardPlease answer all 3 sub-parts 1. You let go of a 0.3kg ball from a height of 2m. When the ball bounces off the ground, it loses 15% of its energy as sound. a) How much energy does the ball lose during the bounce? b) How high does the ball bounce back up after hitting the ground? c) What initial speed would the ball need to be thrown downward at so that it would bounce back up to a maximum height of 2m?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Wave Speed on a String - Tension Force, Intensity, Power, Amplitude, Frequency - Inverse Square Law; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=vEzftaDL7fM;License: Standard YouTube License, CC-BY
Vibrations of Stretched String; Author: PhysicsPlus;https://www.youtube.com/watch?v=BgINQpfqJ04;License: Standard Youtube License