Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780136139225
Author: Douglas C. Giancoli
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14, Problem 68P
(III) By direct substitution, show that Eq. 14–22, with Eqs. 14–23 and 14–24, is a solution of the equation of motion (Eq. 14–21) for the forced oscillator. [Hint: To find sin ϕ0 and cos ϕ0, from tan ϕ0, draw a right triangle.]
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
pls help
J
K
L
The graph in the figure shows the position of an object as a function of time. The letters H-L represent
particular moments of time. At which moments shown (H, I, etc.) is the speed of the object the greatest?
+
Position
H
I
K
Time
1. Two pendula of slightly different length oscillate next to each other. The short one
oscillates with frequency 0.52 Hz and the longer one with frequency 0.50 Hz. If
they start of in phase determine their phase difference after 75 s.
Chapter 14 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 14.1 - An object is oscillating back and forth. Which of...Ch. 14.1 - A mass is oscillating on a frictionless surface at...Ch. 14.1 - If an oscillating mass has a frequency of 1.25 Hz,...Ch. 14.2 - Which of the following represents a simple...Ch. 14.2 - By how much should the mass on the end of a spring...Ch. 14.2 - The position of a SHO is given by x = (0.80 m)...Ch. 14.3 - Suppose the spring in Fig. 1410 is compressed to x...Ch. 14.5 - If a simple pendulum is taken from sea level to...Ch. 14.5 - Return to the Chapter-Opening Question, p. 369,...Ch. 14.5 - (a) Estimate the length of a simple pendulum that...
Ch. 14 - Give some examples of everyday vibrating objects....Ch. 14 - Is the acceleration of a simple harmonic...Ch. 14 - Explain why the motion of a piston in an...Ch. 14 - Real springs have mass. Will the true period and...Ch. 14 - How could you double the maximum speed of a simple...Ch. 14 - A 5.0-kg trout is attached to the hook of a...Ch. 14 - If a pendulum clock is accurate at sea level, will...Ch. 14 - A tire swing hanging from a branch reaches nearly...Ch. 14 - For a simple harmonic oscillator, when (if ever)...Ch. 14 - A 100-g mass hangs from a long cord forming a...Ch. 14 - Two equal masses are attached to separate...Ch. 14 - Does a car bounce on its springs faster when it is...Ch. 14 - What is the approximate period of your walking...Ch. 14 - What happens to the period of a playground swing...Ch. 14 - A thin uniform rod of mass m is suspended from one...Ch. 14 - A tuning fork of natural frequency 264 Hz sits on...Ch. 14 - Why can you make water slosh back and forth in a...Ch. 14 - Give several everyday examples of resonance.Ch. 14 - Is a rattle in a car ever a resonance phenomenon?...Ch. 14 - Over the years, buildings have been able to be...Ch. 14 - (I) If a particle undergoes SHM with amplitude...Ch. 14 - (I) An elastic cord is 65 cm long when a weight of...Ch. 14 - (I) The springs of a 1500-kg car compress 5.0 mm...Ch. 14 - (I) (a) What is the equation describing the motion...Ch. 14 - (II) Estimate the stiffness of the spring in a...Ch. 14 - (II) A fishermans scale stretches 3.6 cm when a...Ch. 14 - (II) Tall buildings are designed to sway in the...Ch. 14 - (II) Construct a Table, indicating the position x...Ch. 14 - (II) A small fly of mass 0.25 g is caught in a...Ch. 14 - (II) A mass m at the end of a spring oscillates...Ch. 14 - (II) A uniform meter stick of mass M is pivoted on...Ch. 14 - (II) A balsa wood block of mass 55g floats on a...Ch. 14 - (II) Figure 1429 shows two examples of SHM,...Ch. 14 - (II) Determine the phase constant in Eq. 144 if,...Ch. 14 - (II) A vertical spring with spring stiffness...Ch. 14 - (II) The graph of displacement vs. time for a...Ch. 14 - (II) The position of a SHO as a function of time...Ch. 14 - (II) A tuning fork oscillates at a frequency of...Ch. 14 - (II) An object of unknown mass m is hung from a...Ch. 14 - (II) A 1.25-kg mass stretches a vertical spring...Ch. 14 - (II) Consider two objects, A and B, both...Ch. 14 - (II) A 1.60-kg object oscillates from a vertically...Ch. 14 - (II) A bungee jumper with mass 65.0 kg jumps from...Ch. 14 - (II) A block of mass m is supported by two...Ch. 14 - (III) A mass m is connected to two springs, with...Ch. 14 - (III) A mass m is at rest on the end of a spring...Ch. 14 - (I) A l.15-kg mass oscillates according to the...Ch. 14 - (I) (a) At what displacement of a SHO is the...Ch. 14 - (II) Draw a graph like Fig. 1411 for a horizontal...Ch. 14 - (II) A 0.35-kg mass at the end of a spring...Ch. 14 - (II) It takes a force of 95.0 to compress the...Ch. 14 - (II) A 0.0125-kg bullet strikes a 0.240-kg block...Ch. 14 - (II) If one oscillation has 5.0 times the energy...Ch. 14 - (II) A mass of 240g oscillates on a horizontal...Ch. 14 - (II) A mass resting on a horizontal, frictionless...Ch. 14 - (II) An object with mass 2.7 kg is executing...Ch. 14 - (II) Agent Arlene devised the following method of...Ch. 14 - (II) Obtain the displacement x as a function of...Ch. 14 - (II) t t = 0, a 785-g mass at rest on the end of a...Ch. 14 - (II) A pinball machine uses a spring launcher that...Ch. 14 - (I) A pendulum has a period of 1.35s on Earth....Ch. 14 - (I) A pendulum makes 32 oscillations in exactly 50...Ch. 14 - (II) A simple pendulum is 0.30m long. At t = 0 it...Ch. 14 - (II) What is the period of a simple pendulum 53cm...Ch. 14 - (II) A simple pendulum oscillates with an...Ch. 14 - (II) Your grandfather clocks pendulum has a length...Ch. 14 - (II) Derive a formula for the maximum speed vmax...Ch. 14 - (II) A pendulum consists of a tiny bob of mass M...Ch. 14 - (II) The balance wheel of a watch is a thin ring...Ch. 14 - (II) The human leg can be compared to a physical...Ch. 14 - (II) (a) Determine the equation of motion (for as...Ch. 14 - (II) A student wants to use a meter stick as a...Ch. 14 - (II) A meter stick is hung at its center from a...Ch. 14 - (II) An aluminum disk. 12.5cm in diameter and 375g...Ch. 14 - (II) A plywood disk of radius 20.0cm and mass...Ch. 14 - (II) A 0.835-kg block oscillates on the end of a...Ch. 14 - (II) Estimate how the damping constant changes...Ch. 14 - (II) A physical pendulum consists of an...Ch. 14 - (II) A damped harmonic oscillator loses 6.0% of...Ch. 14 - (II) A vertical spring of spring constant 115 N/m...Ch. 14 - (III) (a) Show that the total mechanical energy,...Ch. 14 - (III) A glider on an air track is connected by...Ch. 14 - (II) (a) For a forced oscillation at resonance ( =...Ch. 14 - Prob. 64PCh. 14 - (II) An 1150 kg automobile has springs with k =...Ch. 14 - (II) Construct an accurate resonance curve, from ...Ch. 14 - (II) The amplitude of a driven harmonic oscillator...Ch. 14 - (III) By direct substitution, show that Eq. 1422,...Ch. 14 - (III) Consider a simple pendulum (point mass bob)...Ch. 14 - A 62-kg person jumps from a window to a fire net...Ch. 14 - An energy-absorbing car bumper has a spring...Ch. 14 - The length of a simple pendulum is 0.63 m, the...Ch. 14 - A simple pendulum oscillates with frequency f....Ch. 14 - A 0.650-kg mass oscillates according to the...Ch. 14 - (a)A crane has hoisted a 1350-kg car at the...Ch. 14 - An oxygen atom at a particular site within a DNA...Ch. 14 - A seconds pendulum has a period of exactly 2.000...Ch. 14 - A 320-kg wooden raft floats on a lake. When a...Ch. 14 - At what displacement from equilibrium is the speed...Ch. 14 - A diving board oscillates with simple harmonic...Ch. 14 - A rectangular block of wood floats in a calm lake....Ch. 14 - A 950-kg car strikes a huge spring at a speed of...Ch. 14 - A 1.60-kg table is supported on four springs. A...Ch. 14 - In some diatomic molecules, the force each atom...Ch. 14 - A mass attached to the end of a spring is...Ch. 14 - Carbon dioxide is a linear molecule. The...Ch. 14 - Imagine that a 10-cm-diameter circular hole was...Ch. 14 - A thin, Straight, uniform rod of length = 1.00 m...Ch. 14 - A mass m is gently placed on the end of a freely...Ch. 14 - A child of mass m sits on top of a rectangular...Ch. 14 - Estimate the effective spring constant of a...Ch. 14 - In Section 145, the oscillation of a simple...Ch. 14 - (II) A mass m on a frictionless surface is...Ch. 14 - (III) Damping proportional to v2. Suppose the...
Additional Science Textbook Solutions
Find more solutions based on key concepts
All of the following processes are involved in the carbon cycle except: a. photosynthesis b. cell respiration c...
Human Biology: Concepts and Current Issues (8th Edition)
Name the components (including muscles) of the thoracic cage. List the contents of the thorax.
Human Physiology: An Integrated Approach (8th Edition)
What are the minimum and maximum ages of the island of Kauai? Minimum age: ______million yr Maximum age: ______...
Applications and Investigations in Earth Science (9th Edition)
10.71 Identify each of the following as an acid or a base: (10.1)
H2SO4
RbOH
Ca(OH)2
HI
...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Write a balanced chemical equation for each chemical reaction. a. Solid magnesium reacts with aqueous copper(I)...
Introductory Chemistry (6th Edition)
EVOLUTION CONNECTION Describe how gene flow, genetic drift, and natural sclection all can influence macroevolut...
Campbell Biology (11th Edition)
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
- A mass is connect to a vertical revolving axle by two strings of length L, each making an angle of 45 degrees with the axle, as shown. Both the axle and mass are revolving with angular velocity w, Gravity is directed downward. The tension in the upper string is T_upper and the tension in the lower string is T_lower.Draw a clear free body diagram for mass m. Please include real forces only.Find the tensions in the upper and lower strings, T_upper and T_lowerarrow_forward2. A stone is dropped into a pool of water causing ripple to spread out. After 10 s the circumference of the ripple is 20 m. Calculate the velocity of the wave.arrow_forward10. Imagine you have a system in which you have 54 grams of ice. You can melt this ice and then vaporize it all at 0 C. The melting and vaporization are done reversibly into a balloon held at a pressure of 0.250 bar. Here are some facts about water you may wish to know. The density of liquid water at 0 C is 1 g/cm³. The density of ice at 0 C is 0.917 g/cm³. The enthalpy of vaporization of liquid water is 2.496 kJ/gram and the enthalpy of fusion of solid water is 333.55 J/gram. A. How much energy does the ice absorb as heat when it melts? B. How much work is involved in melting the ice? C. What is the total change in energy for melting the ice? D. What is the enthalpy change for melting the ice? E. What is the entropy change for melting the ice? F. What is the change in Helmholtz energy for melting the ice? G. What is the change in Gibbs energy for melting the ice?arrow_forward
- In the figure Q = 5.7 nC and all other quantities are accurate to 2 significant figures. What is the magnitude of the force on the charge Q? (k = 1/4πε 0 = 8.99 × 109 N · m2/C2)arrow_forwardNow add a fourth charged particle, particle 3, with positive charge q3, fixed in the yz-plane at (0,d2,d2). What is the net force F→ on particle 0 due solely to this charge? Express your answer (a vector) using k, q0, q3, d2, i^, j^, and k^. Include only the force caused by particle 3.arrow_forwardFor a tornadoes and hurricanes, which of the following is most critical? an alert a watch a warning a predictionarrow_forward
- When a warm front advances up and over a cold front, what is it called? front inversion stationary front cold front occlusion warm front occlusionarrow_forward1) Consider two positively charged particles, one of charge q0 (particle 0) fixed at the origin, and another of charge q1 (particle 1) fixed on the y-axis at (0,d1,0). What is the net force F→ on particle 0 due to particle 1? Express your answer (a vector) using any or all of k, q0, q1, d1, i^, j^, and k^. 2) Now add a third, negatively charged, particle, whose charge is −q2− (particle 2). Particle 2 fixed on the y-axis at position (0,d2,0). What is the new net force on particle 0, from particle 1 and particle 2? Express your answer (a vector) using any or all of k, q0, q1, q2, d1, d2, i^, j^, and k^. 3) Particle 0 experiences a repulsion from particle 1 and an attraction toward particle 2. For certain values of d1 and d2, the repulsion and attraction should balance each other, resulting in no net force. For what ratio d1/d2 is there no net force on particle 0? Express your answer in terms of any or all of the following variables: k, q0, q1, q2.arrow_forwardA 85 turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 rad/s in a 1.35 T field, starting with the normal of the plane of the coil perpendicular to the field. Assume that the positive max emf is reached first. (a) What (in V) is the peak emf? 7.17 V (b) At what time (in s) is the peak emf first reached? 0.196 S (c) At what time (in s) is the emf first at its most negative? 0.589 x s (d) What is the period (in s) of the AC voltage output? 0.785 Sarrow_forward
- A bobsled starts at the top of a track as human runners sprint from rest and then jump into the sled. Assume they reach 40 km/h from rest after covering a distance of 50 m over flat ice. a. How much work do they do on themselves and the sled which they are pushing given the fact that there are two men of combined mass 185 kg and the sled with a mass of 200 kg? (If you haven't seen bobsledding, watch youtube to understand better what's going on.) b. After this start, the team races down the track and descends vertically by 200 m. At the finish line the sled crosses with a speed of 55 m/s. How much energy was lost to drag and friction along the way down after the men were in the sled?arrow_forwardFor what type of force is it not possible to define a potential energy expression?arrow_forward10. Imagine you have a system in which you have 54 grams of ice. You can melt this ice and then vaporize it all at 0 C. The melting and vaporization are done reversibly into a balloon held at a pressure of 0.250 bar. Here are some facts about water you may wish to know. The density of liquid water at 0 C is 1 g/cm³. The density of ice at 0 C is 0.917 g/cm³. The enthalpy of vaporization of liquid water is 2.496 kJ/gram and the enthalpy of fusion of solid water is 333.55 J/gram.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY