Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321908803
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14, Problem 10P
During an earthquake, the top of a building oscillates with an amplitude of 30 cm at 1.2 Hz. What are the magnitudes of (a) the maximum displacement, (b) the maximum velocity, and (c) the maximum acceleration of the top of the building?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 440 Hz and a maximum displacement of 0.75 mm. What are the (a) angular frequency, (b) maximum speed, and (c) magnitude of the maximum acceleration?
Although California is known for earthquakes, it has large regions dotted with precariously balanced rocks that would be easily toppled by even a mild earthquake. Apparently no major earthquakes have occurred in those regions. If an earthquake were to put such a rock into sinusoidal oscillation (parallel to the ground) with a frequency of 2.2 Hz, an oscillation amplitude of 1.0 cm would cause the rock to topple.What would be the magnitude of the maximum acceleration of the oscillation, in terms of g?
The function x = (4 m) cos[(3π rad/s)t + π/5 rad] gives the simple harmonic motion of a body. At t = 8 s, what are the
(a) displacement,
(b) velocity,
(c) acceleration, and
(d) phase of the motion? Also,
what are the (e) frequency and
(f) period of the motion?
Chapter 14 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (3rd Edition)
Ch. 14 - Give three real-world examples of oscillatory...Ch. 14 - A persons heart rate is given in beats per minute....Ch. 14 - Figure Q14.3 shows the position-versus-time graph...Ch. 14 - A tall building is swaying back and forth on a...Ch. 14 - A child is on a swing, gently swinging back and...Ch. 14 - A block oscillating on a spring has an amplitude...Ch. 14 - A block oscillating on a spring has a maximum...Ch. 14 - A block oscillating on a spring has a maximum...Ch. 14 - For the graph in Figure Q14.9, determine the...Ch. 14 - For the graph in Figure Q14.10 , determine the...
Ch. 14 - A block oscillating on a spring has period t = 2.0...Ch. 14 - A pendulum on Planet X, where the value of g is...Ch. 14 - Flies flap their wings at frequencies much too...Ch. 14 - Denver is at a higher elevation than Miami; the...Ch. 14 - If you want to play a tune on wine glasses, youll...Ch. 14 - It is possible to identify promising locations for...Ch. 14 - Sprinters push off from the ball of their foot,...Ch. 14 - Gibbons move through the trees by swinging from...Ch. 14 - What is the difference between the driving...Ch. 14 - Humans have a range of hearing of approximately 20...Ch. 14 - A person driving a truck on a washboard road, one...Ch. 14 - Weve seen that stout tendons in the legs of...Ch. 14 - A spring has an unstretched length of 20 cm. A 100...Ch. 14 - Figure Q14.24 represents the motion of a mass on a...Ch. 14 - A ball of mass m oscillates on a spring with...Ch. 14 - A car bounces up and down on its springs at 1.0 Hz...Ch. 14 - If you carry heavy weights in your hands, how will...Ch. 14 - A heavy brass ball is used to make a pendulum with...Ch. 14 - Very loud sounds can damage hearing by injuring...Ch. 14 - When a guitar string plays the note A, the string...Ch. 14 - In the aftermath of an intense earthquake, the...Ch. 14 - In taking your pulse, you count 75 heartbeats in 1...Ch. 14 - A spring scale hung from the ceiling stretches by...Ch. 14 - A heavy steel ball is hung from a cord to make a...Ch. 14 - An air-track glider attached to a spring...Ch. 14 - An air-track glider is attached to a spring. The...Ch. 14 - What are the (a) amplitude and (b) frequency of...Ch. 14 - What are the (a) amplitude and (b) frequency of...Ch. 14 - During an earthquake, the top of a building...Ch. 14 - Some passengers on an ocean cruise may suffer from...Ch. 14 - A passenger car traveling down a rough road...Ch. 14 - The New England Merchants Bank Building in Boston...Ch. 14 - We can model the motion of a dragonflys wing as...Ch. 14 - We can model the motion of a bumblebees wing as...Ch. 14 - Hummingbirds may seem fragile, but their wings are...Ch. 14 - a. When the displacement of a mass on a spring is...Ch. 14 - A 1.0 kg block is attached to a spring with spring...Ch. 14 - A block attached to a spring with unknown spring...Ch. 14 - A 200 g air-track glider is attached to a spring....Ch. 14 - The position of a 50 g oscillating mass is given...Ch. 14 - A 50-em-long spring is suspended from the ceiling....Ch. 14 - A 200 g mass attached to a horizontal spring...Ch. 14 - A 507 g mass oscillates with an amplitude of 10.0...Ch. 14 - A mass on a string of unknown length oscillates as...Ch. 14 - The mass in a pendulum clock completes one...Ch. 14 - A 200 g ball is tied to a string. It is pulled to...Ch. 14 - The free-fall acceleration on the moon is 1.62...Ch. 14 - Astronauts on the first trip to Mars take along a...Ch. 14 - A building is being knocked down with a wrecking...Ch. 14 - Interestingly, there have been several studies...Ch. 14 - You and your friends find a rope that hangs down...Ch. 14 - A thin, circular hoop with a radius of 0.22 m is...Ch. 14 - Prob. 34PCh. 14 - The amplitude of an oscillator decreases to 36.8%...Ch. 14 - A physics department has a Foucault pendulum, a...Ch. 14 - Calculate and draw an accurate displacement graph...Ch. 14 - A small earthquake starts a lamppost vibrating...Ch. 14 - When you drive your car over a bump, the springs...Ch. 14 - Taipei 101 (a 101-story building in Taiwan) is...Ch. 14 - A 25 kg child sits on a 2.0-m-long rope swing. You...Ch. 14 - Your car rides on springs, so it will have a...Ch. 14 - Vision is blurred if the head is vibrated at 29 Hz...Ch. 14 - A spring has an unstretched length of 12 cm. When...Ch. 14 - A 0.40 kg ball is suspended from a spring with...Ch. 14 - A spring is hanging from the ceiling. Attaching a...Ch. 14 - A spring with spring constant 15.0 N/m hangs from...Ch. 14 - A spring is hung from the ceiling. When a coffee...Ch. 14 - On your first trip to Planet X you happen to take...Ch. 14 - An object oscillating on a spring has the velocity...Ch. 14 - The two graphs in Figure P14.51 are for two...Ch. 14 - As weve seen, astronauts measure their mass by...Ch. 14 - A 100 g ball attached to a spring with spring...Ch. 14 - The ultrasonic transducer used in a medical...Ch. 14 - A compact car has a mass of 1200 kg. When empty,...Ch. 14 - A car with a total mass of 1400 kg (including...Ch. 14 - A 500 g air-track glider attached to a spring with...Ch. 14 - A 1.00 kg block is attached to a horizontal spring...Ch. 14 - Figure P14.59 shows two springs, each with spring...Ch. 14 - Bungee Man is a superhero who does super deeds...Ch. 14 - The earths free-fall acceleration varies from...Ch. 14 - Orangutans can move by brachiation, swinging like...Ch. 14 - An infants toy has a 120 g wooden animal hanging...Ch. 14 - A jellyfish can propel itself with jets of water...Ch. 14 - A 200 g oscillator in a vacuum chamber has a...Ch. 14 - While seated on a tall bench, extend your lower...Ch. 14 - We can make a static measurement to deduce the...Ch. 14 - If, during a stride, the stretch causes her center...Ch. 14 - If we imagine a full cycle of the oscillation,...Ch. 14 - Given what you have calculated for the period of...Ch. 14 - Suppose a 12 mg fly lands in the center of a...Ch. 14 - Modeling the motion of the fly on the web as a...Ch. 14 - If the web were vertical rather than horizontal,...Ch. 14 - Spiders are more sensitive to oscillations at...
Additional Science Textbook Solutions
Find more solutions based on key concepts
12. A 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients o...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Which of the two planets (Esus or Sulis) do you think will move around the central star in the least amount of ...
Lecture- Tutorials for Introductory Astronomy
Release the ball so that it rolls straight toward the ramp (motion 1). Observe the motion of the ball. Sketch t...
Tutorials in Introductory Physics
Express the unit vectors in terms of (that is, derive Eq. 1.64). Check your answers several ways Also work o...
Introduction to Electrodynamics
Look up the enthalpy of formation of atomic hydrogen in the back of this book. This is the enthalpy change when...
An Introduction to Thermal Physics
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
- For each expression, identify the angular frequency , period T, initial phase and amplitude ymax of the oscillation. All values are in SI units. a. y(t) = 0.75 cos (14.5t) b. vy (t) = 0.75 sin (14.5t + /2) c. ay (t) = 14.5 cos (0.75t + /2) 16.3arrow_forwardThe expression x = 8.50 cos (2.40 t + /2) describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the a. frequency, b. period, c. amplitude, and d. initial phase of the objects motion? e. What is the position of the particle at t = 1.45 s?arrow_forwardA simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.arrow_forward
- The angular position of a pendulum is represented by the equation = 0.032 0 cos t, where is in radians and = 4.43 rad/s. Determine the period and length of the pendulum.arrow_forwardThe position of a particle attached to a vertical spring is given by y=(y0cost)j. The y axis points upward, y0 = 14.5 cm. and = 18.85 rad/s. Find the position of the particle at a. t = 0 and b. t = 9.0 s. Give your answers in centimeters.arrow_forwardThe equations listed in Table 2.2 give position as a function of time, velocity as a function of time, and velocity as a function of position for an object moving in a straight line with constant acceleration. The quantity vxi appears in every equation. (a) Do any of these equations apply to an object moving in a straight line with simple harmonic motion? (b) Using a similar format, make a table of equations describing simple harmonic motion. Include equations giving acceleration as a function of time and acceleration as a function of position. State the equations in such a form that they apply equally to a blockspring system, to a pendulum, and to other vibrating systems. (c) What quantity appears in every equation?arrow_forward
- A simple pendulum has mass 1.20 kg and length 0.700 m. (a) What is the period of the pendulum near the surface of Earth? (b) If the same mass is attached to a spring, what spring constant would result in the period of motion found in part (a)?arrow_forwardWhich of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.arrow_forwardIn an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = 0, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.arrow_forward
- A uniform annular ring of mass m and inner and outer radii a and b, respectively, is pivoted around an axis perpendicular to the plane of the ring at point P (Fig. P16.35). Determine its period of oscillation. FIGURE P16.35arrow_forwardA blockspring system oscillates with an amplitude of 3.50 cm. The spring constant is 250 N/m and the mass of the block is 0.500 kg. Determine (a) the mechanical energy of the system, (b) the maximum speed of the block, and (c) the maximum acceleration.arrow_forwardA 500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. Calculate the maximum value of its (a) speed and (b) acceleration, (c) the speed and (d) the acceleration when the object is 6.00 cm from the equilibrium position, and (e) the time interval required for the object to move from x = 0 to x = 8.00 cm.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher: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: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY