Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13.4, Problem 13.4GI
Figure 13.18 shows the paths traced in the horizontal plane by two pendulums swinging with different frequencies in two perpendicular directions. What’s the ratio of x-direction frequency to y-direction frequency for (1) path (a) and (2) path (b)?
FIGURE 13.18 Complex paths resulting from different frequencies in different directions. Can you determine the frequency ratios?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
5
2
8. The power output, P, in Watts of an electric generator varies sinusoidally over the course of a day, with a
period of a day. The output is a minimum of 200 watts at midnight and the maximum output is 800 watts.
Let t be the number of hours since midnight.
What is the average power output? What's the amplitude?
Draw the graph of P against t over two days.
Find a formula for P n terms of t. Is it easier to modify a sine formula, or a cosine formula?
The period of oscillation of a simple pendulum is assumed to depend upon its length 1, bob
mass m, maximum displacement angle Omas and gravitational acceleration g.
(a)
(b)
(c)
Perform a dimensional analysis to establish how / varies with these parameters.
If the period of oscillation for a given pendulum on earth is 3 s, what will it be (for the
same amplitude oscillations) on the moon (g = 1.62 ms)?
What other parameters do you think / might depend upon (weakly) in practice?
s An atom in a molecule oscillates about its equilibrium position with a frequencyof 2.00 * 1014Hz and a maximum displacement of 3.50 nm.(a) Write an expression giving x as a function of time for this atom,assuming that x = A at t = 0. (b) If, instead, we assume that x = 0at t = 0, would your expression for position versus time use a sinefunction or a cosine function? Explain.
Chapter 13 Solutions
Essential University Physics (3rd Edition)
Ch. 13.1 - A typical human heart rate is about 65 beats per...Ch. 13.2 - Two identical mass-spring systems are displaced...Ch. 13.3 - What happens to the period of a pendulum if (l)...Ch. 13.4 - Figure 13.18 shows the paths traced in the...Ch. 13.5 - Two different mass-spring systems are oscillating...Ch. 13.6 - The figure shows displacement-versus-time graphs...Ch. 13.7 - The photo shows a wineglass shattering in response...Ch. 13 - Is a vertically bouncing ball an example of...Ch. 13 - The vibration frequencies of molecules are much...Ch. 13 - What happens to the frequency of a simple harmonic...
Ch. 13 - If the spring of a simple harmonic oscillator is...Ch. 13 - How does the frequency of a simple harmonic...Ch. 13 - How would the frequency of a horizontal massspring...Ch. 13 - When in its cycle is the acceleration of an...Ch. 13 - Explain how simple harmonic motion might be used...Ch. 13 - One pendulum consists of a solid rod of mass m and...Ch. 13 - The x- and y-components of motion of a body are...Ch. 13 - Why is critical damping desirable in a cars...Ch. 13 - Explain why the frequency of a damped system is...Ch. 13 - Opera singers have been known to break glasses...Ch. 13 - What will happen to the period of a massspring...Ch. 13 - How can a system have more than one resonant...Ch. 13 - Prob. 16ECh. 13 - A violin string playing the note A oscillates at...Ch. 13 - The vibration frequency of a hydrogen chloride...Ch. 13 - Write expressions for the displacement x(t) in...Ch. 13 - The top of a skyscraper sways back and forth,...Ch. 13 - A hummingbirds wings vibrate at about 45 Hz. Whats...Ch. 13 - A 200-g mass is attached to a spring of constant k...Ch. 13 - An automobile suspension has an effective spring...Ch. 13 - The quartz crystal in a watch executes simple...Ch. 13 - A 342-g mass is attached to a spring and undergoes...Ch. 13 - A particle undergoes simple harmonic motion with...Ch. 13 - A particle undergoes simple harmonic motion with...Ch. 13 - How long should you make a simple pendulum so its...Ch. 13 - At the heart of a grandfather clock is a simple...Ch. 13 - A 622-g basketball with 24.0-cm diameter is...Ch. 13 - A meter stick is suspended from one end and set...Ch. 13 - A wheel rotates at 600 rpm. Viewed from the edge,...Ch. 13 - The x- and y-components of an objects motion are...Ch. 13 - A 450-g mass on a spring is oscillating at 1.2 Hz....Ch. 13 - A torsional oscillator of rotational inertia 1.6...Ch. 13 - Youre riding in a friends 1400-kg car with bad...Ch. 13 - The vibration of a piano string can be described...Ch. 13 - A massspring system has b/m = 0/5, where b is the...Ch. 13 - A cars front suspension has a natural frequency of...Ch. 13 - A simple model for carbon dioxide consists of...Ch. 13 - Two identical massspring systems consist of 430-g...Ch. 13 - The human eye and muscles that hold it can be...Ch. 13 - A mass m slides along a frictionless horizontal...Ch. 13 - Prob. 44PCh. 13 - A physics student, bored by a lecture on simple...Ch. 13 - A pendulum of length L is mounted in a rocket....Ch. 13 - The protein dynein powers the flagella that propel...Ch. 13 - A mass is attached to a vertical spring, which...Ch. 13 - Derive the period of a simple pendulum by...Ch. 13 - A solid disk of radius R is suspended from a...Ch. 13 - A thin steel beam is suspended from a crane and is...Ch. 13 - A cyclist turns her bicycle upside down to repair...Ch. 13 - An object undergoes simple harmonic motion in two...Ch. 13 - The muscles that drive insect wings minimize the...Ch. 13 - A pendulum consists of a 320-g solid ball 15.0 cm...Ch. 13 - If Jane and Tarzan are initially 8.0 m apart in...Ch. 13 - A small mass measuring device (SMMD) used for...Ch. 13 - A thin, uniform hoop of mass M and radius R is...Ch. 13 - A mass m is mounted between two springs with...Ch. 13 - The equation for an ellipse is (x2/a2) + (y2/b2) =...Ch. 13 - Show that the potential energy of a simple...Ch. 13 - The total energy of a massspring system is the sum...Ch. 13 - A solid cylinder of mass M and radius R is mounted...Ch. 13 - A mass m is free to slide on a frictionless track...Ch. 13 - A 250-g mass is mounted on a spring of constant k...Ch. 13 - A harmonic oscillator is underdamped if the...Ch. 13 - A massless spring with k = 74 N/m hangs from the...Ch. 13 - A meter stick is suspended from a frictionless rod...Ch. 13 - A particle of mass m has potential energy given by...Ch. 13 - Two balls with the same unknown mass m are mounted...Ch. 13 - Two mass-spring systems with the same mass are...Ch. 13 - Two mass-spring systems have the same mass and the...Ch. 13 - A 500-g mass is suspended from a thread 45 cm long...Ch. 13 - A 500-g block on a frictionless, horizontal...Ch. 13 - Repeat Problem 64 for a small solid ball of mass M...Ch. 13 - Youre working on the script of a movie whose plot...Ch. 13 - A 1.2-kg block rests on a frictionless surface and...Ch. 13 - A disk of radius R is suspended from a pivot...Ch. 13 - Prob. 79PCh. 13 - Youre a structural engineer working on a design...Ch. 13 - Show that x(t) = a cos t bsin t represents simple...Ch. 13 - Youre working for the summer with an ornithologist...Ch. 13 - While waiting for your plane to take off, you...Ch. 13 - Youre working for a playground equipment company,...Ch. 13 - Youve inherited your great-grandmothers mantle...Ch. 13 - This problem explores the nonlinear pendulum...Ch. 13 - Physicians and physiologists are interested in the...Ch. 13 - Physicians and physiologists are interested in the...Ch. 13 - Physicians and physiologists are interested in the...Ch. 13 - Physicians and physiologists are interested in the...
Additional Science Textbook Solutions
Find more solutions based on key concepts
How Would the experiments result charge if oxygen (O2) were induced in the spark chamber?
Biology: Life on Earth with Physiology (11th Edition)
Fibrous connective tissue consists of ground substance and fibers that provide strength, support, and flexibili...
Human Biology: Concepts and Current Issues (8th Edition)
75. A 50 g ball of clay traveling at 6.5 m/s hits and sticks to a 1.0 kg block sitting at rest on a frictionles...
College Physics: A Strategic Approach (3rd Edition)
Choose the best answer to etch of the following. Explain your reasoning. What two pieces of information would y...
Cosmic Perspective Fundamentals
Which coastal area experiences the largest tidal range difference in height between the high tide and low tide?...
Applications and Investigations in Earth Science (9th Edition)
4. Three groups of nonvascular plants are _______, ______, and _______. Three groups of seedless vascular plant...
Biology: Life on Earth (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
- This is a multiple choice question, so you can just give the answer with the letter it corresponds with.arrow_forwardThe second was officially defined by the Simple Harmonic Motion of the Caesium 133 atom. It has a precise frequency of 9.19 x 10^9 Hz and a mass of 2.207 x 10–25 kg. Assume the amplitude of the atoms motion is 3.34 x 10-10 m. What is the spring constant of the atom's vibration?arrow_forward2.52.There is a whistle attached to each end of a 3.4m long stick. As shown in the picture on the right, the bar rotates at an angular speed of 20 rad/s in the horizontal plane with the line passing through the center of the bar as the axis. What is the maximum number of beats per second observed by a person far away from this bar? (However, the vibration frequency of the sound coming from the whistle is 99Hz, and the speed of sound is 340m/s.) N=rw=34m/ дан 20 rows/s w = 20 rad/sarrow_forward
- This is a multiple choice question, so you can just give the answer with the letter it corresponds with.arrow_forwardA simple pendulum is made with a string measuring 85 cm in length and a bob measuring 50 grams. The bob swings in a 5 cm arc at a point near the earth's surface, producing 20 vibrations in 38 seconds. How many vibrations will a 100-gram bob create in a minute if the string length is 60 cm and the swing arc is 10 cm at the same location?arrow_forwardA string has a linear mass density μ = 0.007 kg/m, a length L = 0.70 m, a tension of FT = 110 N, and oscillates in a mode n = 3 . (a) What is the frequency of the oscillations? (b) Use the result in the preceding problem to find the change in the frequency when the tension is increased by 1.00% .arrow_forward
- ate: M.Sc Physics Show that Fos Harmonic ascillator the Commutator aof â and ât is equal to 1.arrow_forwardA mass m = 2.8 kg is at the end of a horizontal spring of spring constant k = 490 N/m on a frictionless horizontal surface. The block is pulled, stretching the spring a distance A = 8.5 cm from equilibrium, and released from rest. a) Write an equation for the angular frequency ω of the oscillation. b) Calculate the angular frequency ω of the oscillation in rad/seconds. c) Write an equation for the period T of the oscillations.arrow_forwardThe period of motion of an object-spring system is T = 0.642 s when an object of mass m= 266 g is attached to the spring. (a) Find the frequency of motion in hertz. (b) Find the force constant of the spring. (c) If the total energy of the oscillating motion is 0.176 J, find the amplitude of the oscillations. please show every step so I can learn how to do it. Thank you!arrow_forward
- a) Find the ratio of the new/old periods of a pendulum if the pendulum were transported from Earth to Triton, where the acceleration due to gravity is 0.778 m/s2. (b) If the spring constant of a simple harmonic oscillator is tripled, by what factor will the mass of the system need to change in order for the frequency of the motion to remain the same?arrow_forwardTarzan swings back and forth on a long vine. His friend Jane notices in amazement that he makes 30 complete swings in 2.4 minutes. a)What is the frequency (in hertz) of Tarzan's swing? b)How long is the vine he is using?arrow_forwardWhat mass needs to be attached to a spring with force constant 1200N/m in order to make a simple harmonic oscillator oscillate with a frequency of 3Hz?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
What Are Sound Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=GW6_U553sK8;License: Standard YouTube License, CC-BY