Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 16.5, Problem 16.4CE
To determine
The angular frequency and the period of the Crall and Whipple’s oscillator.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
It is known that a general solution for the position of a
harmonic oscillator is
x(t) = C cos (wt) + S sin (wt),
where C, S, and ware constants. (Figure 2)
Your task, therefore, is to determine the values of C, S,
and w in terms of k, m,and init and then use the
connection between x (t) and a (t) to find the
acceleration.
Figure
L
min
x=0
Xinit
1 of 2
>
Part A
Combine Newton's 2nd law and Hooke's law for a spring to find the acceleration of the block a (t) as a function of time.
Express your answer in terms of k, m, and the coordinate of the block x (t).
► View Available Hint(s)
a (t) =
Submit
17 ΑΣΦ
Part B Complete previous part(s)
Review | Constants
?
For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use
II* II
for products (e.g. B*A), "/" for ratios
(e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for
Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect.
For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios
(e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for
Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect.
U=
Display response
Chapter 16 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 16.1 - Prob. 16.1CECh. 16.2 - Prob. 16.2CECh. 16.2 - For each expression, identify the angular...Ch. 16.5 - Prob. 16.4CECh. 16.6 - Prob. 16.5CECh. 16.6 - Prob. 16.6CECh. 16 - Case Study For each velocity listed, state the...Ch. 16 - Case Study For each acceleration listed, state the...Ch. 16 - Prob. 3PQCh. 16 - Prob. 4PQ
Ch. 16 - Prob. 5PQCh. 16 - Prob. 6PQCh. 16 - The equation of motion of a simple harmonic...Ch. 16 - The expression x = 8.50 cos (2.40 t + /2)...Ch. 16 - A simple harmonic oscillator has amplitude A and...Ch. 16 - Prob. 10PQCh. 16 - A 1.50-kg mass is attached to a spring with spring...Ch. 16 - Prob. 12PQCh. 16 - Prob. 13PQCh. 16 - When the Earth passes a planet such as Mars, the...Ch. 16 - A point on the edge of a childs pinwheel is in...Ch. 16 - Prob. 16PQCh. 16 - Prob. 17PQCh. 16 - A jack-in-the-box undergoes simple harmonic motion...Ch. 16 - C, N A uniform plank of length L and mass M is...Ch. 16 - Prob. 20PQCh. 16 - A block of mass m = 5.94 kg is attached to a...Ch. 16 - A block of mass m rests on a frictionless,...Ch. 16 - It is important for astronauts in space to monitor...Ch. 16 - Prob. 24PQCh. 16 - A spring of mass ms and spring constant k is...Ch. 16 - In an undergraduate physics lab, a simple pendulum...Ch. 16 - A simple pendulum of length L hangs from the...Ch. 16 - We do not need the analogy in Equation 16.30 to...Ch. 16 - Prob. 29PQCh. 16 - Prob. 30PQCh. 16 - Prob. 31PQCh. 16 - Prob. 32PQCh. 16 - Prob. 33PQCh. 16 - Show that angular frequency of a physical pendulum...Ch. 16 - A uniform annular ring of mass m and inner and...Ch. 16 - A child works on a project in art class and uses...Ch. 16 - Prob. 37PQCh. 16 - Prob. 38PQCh. 16 - In the short story The Pit and the Pendulum by...Ch. 16 - Prob. 40PQCh. 16 - A restaurant manager has decorated his retro diner...Ch. 16 - Prob. 42PQCh. 16 - A wooden block (m = 0.600 kg) is connected to a...Ch. 16 - Prob. 44PQCh. 16 - Prob. 45PQCh. 16 - Prob. 46PQCh. 16 - Prob. 47PQCh. 16 - Prob. 48PQCh. 16 - A car of mass 2.00 103 kg is lowered by 1.50 cm...Ch. 16 - Prob. 50PQCh. 16 - Prob. 51PQCh. 16 - Prob. 52PQCh. 16 - Prob. 53PQCh. 16 - Prob. 54PQCh. 16 - Prob. 55PQCh. 16 - Prob. 56PQCh. 16 - Prob. 57PQCh. 16 - An ideal simple harmonic oscillator comprises a...Ch. 16 - Table P16.59 gives the position of a block...Ch. 16 - Use the position data for the block given in Table...Ch. 16 - Consider the position data for the block given in...Ch. 16 - Prob. 62PQCh. 16 - Prob. 63PQCh. 16 - Use the data in Table P16.59 for a block of mass m...Ch. 16 - Consider the data for a block of mass m = 0.250 kg...Ch. 16 - A mass on a spring undergoing simple harmonic...Ch. 16 - A particle initially located at the origin...Ch. 16 - Consider the system shown in Figure P16.68 as...Ch. 16 - Prob. 69PQCh. 16 - Prob. 70PQCh. 16 - Prob. 71PQCh. 16 - Prob. 72PQCh. 16 - Determine the period of oscillation of a simple...Ch. 16 - The total energy of a simple harmonic oscillator...Ch. 16 - A spherical bob of mass m and radius R is...Ch. 16 - Prob. 76PQCh. 16 - A lightweight spring with spring constant k = 225...Ch. 16 - Determine the angular frequency of oscillation of...Ch. 16 - Prob. 79PQCh. 16 - A Two springs, with spring constants k1 and k2,...Ch. 16 - Prob. 81PQCh. 16 - Prob. 82PQ
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
- Why is Logger Pro set up to report the time between every other blocking of the Photogate? Why not the time between every block? Using either Graphical Analysis or graph paper, plot a graph of pendulum period vs. amplitude in degrees. Scale each axis from the origin (0,0). Does the period depend on amplitude? Explain. Using either Graphical Analysis or graph paper, plot a graph of pendulum period T vs. lengthl. Scale each axis from the origin (0,0). Does the period appear to depend on length? Using either Graphical Analysis or graph paper, plot the pendulum period vs. mass. Scale each axis from the origin (0,0). Does the period appear to depend on mass? Do you have enough data to answer conclusively? To examine more carefully how the period T depends on the pendulum length l, create the following two additional graphs of the same data: T 2 vs. l and T vs. l2 . Of the three period-length graphs, which is closest to a direct proportion; that is, which plot is most nearly a straight line…arrow_forwardThe motion of a mass and spring is described by the following equation: 11y"+4y+6y= 35 cos(yt) Identify the value of y that would produce resonance in the system. Give an exact value, but you don't need to simplify radicals. Y What is the amplitude of the steady-state solution when the system is at resonance? Round your answer to two decimal places. The amplitude is If there was no external force, the oscillation of the spring could be described in the form A sin(ßt + p). What is the value of B? Give an exact value, but you don't need to simplify radicals. Вarrow_forwardAn object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 5 centimeters, and then released. Write an equation for the distance d of the object from its rest position, aftert seconds if the amplitude is 5 centimeters and the period is 7 seconds. The equation for the distance d of the object from its rest position is (Type an exact answer, using t as needed. Use integers or fractions for any numbers in the equation.) Enter your answer in the answer box. Save for Later 6:03 PM 11/14/2020 P Type here to search Pgup PgDn F12 End PrtScn F8 Home F9 F11 F10 DII F6 F7 Esc F3 F4 F5 F1 F2 & 23 24 5 6 7 8 1 2 3 4. P Y U Q W E R 60 Tarrow_forward
- A weight attached to a spring is pulled down 2 inches below the equilibrium position. Complete parts (a) and (b) below. (a) Assuming the period is 5 second, determine a trigonometric model that gives the position of the weight at time t seconds. s(t) = (Simplify your answer. Type an exact answer, using as needed.) (b) What is the frequency? The frequency is oscillations per sec. (Simplify your answer.)arrow_forwardAn object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 9 centimeters, and then released. Write an equation for the distance d of the object from its rest position, after t seconds if the amplitude is 9 centimeters and the period is 6 seconds. The equation for the distance d of the object from its rest position is (Type an exact answer, using z as needed. Use integers or fractions for any numbers in the equation.) (? Enter your answer in the answer box. Save for Later 3:18 PM O Type here to search O 11/15/2020 PgUp PgDn F12 DII PrtScn Home F9 End F10 F11 Ins F4 F5 F6 F7 F8 F1 F2 F3 2$ & ) %23 %3D 3. 4. 5 6 7 8 E R Y U | [ Tarrow_forwardA pendulum on Earth is released from rest at an angular displacement of 6.6 degrees to the right, and is at an angular displacemet of -3.87938 degrees when measured 0.915924 s after it is released. Assume the positive angular displacement direction is to the right. Help on how to format answers: units a. What is the length of the pendulum? The length of the penduum is m.arrow_forward
- For a simple harmonic oscillator with x = A sin wt write down an expression for the magnitude of acceleration. Please use II * II for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For power (e.g. A) use A^2 or A*A. For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect.arrow_forwardFor a simple harmonic oscillator with x=Asinωtx=Asinωt write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as ωω, use omega.arrow_forwardSolve the following questions relating to the Harmonic Oscillator.arrow_forward
- An oscillator moves back and forth between the 10 cm and 50 cm marks on a meter stick. What is the location of the EP on the meter stick? In Problem 11, what is the amplitude A?arrow_forwardNot 81930449@students.liu.edu.lb? Switch account 15 MCQS In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is t s^(-1). What is the time needed for the pendulum to complete two oscillations? 0.5 sec 1 sec O 4 sec 2 sec 0.25 secarrow_forwardAn astronaut has brought along a pendulum oscillator that was calibrated to have a period of exactly 2.0s on Earth. When he lands on the moon, he will make an attept to measure the period of his oscillator. Make a CLAIM about the period of the oscillator on the moon as it relates to the period of the oscillator on Earth. Provide EVIDENCE of your claim by citing a specific formula. Provide the REASONING for your claim by linking the relationship of the variable to the formula.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
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY