Physics: Principles with Applications
7th Edition
ISBN: 9780321625922
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 11, Problem 6Q
For a simple harmonic oscillator, when (if ever) are the displacement and velocity vectors in the same direction? When are the displacement and acceleration vectors in the same direction?
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule03:56
Students have asked these similar questions
(a) If the coordinate of a particle varies as x = -A cos wt, what is the phase constant in equation x(t) = A cos(wt + ¢)? (Use any variable or symbol stated above along with
the following as necessary: Tn.)
(b) At what position is the particle at t = 0? (Use any variable or symbol stated above along with the following as necessary: 1.)
X =
(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)
(b)Write an equation that represents the curve in the form
Consider a situation of simple harmonic motion in which the distance between the endpoints is 2.45 m and exactly 9 cycles are
completed in 21.5 s. When this motion is viewed as a projection of circular motion, what is the radius, r, and angular velocity,
@, of the circular motion?
r =
m
(0) =
rad/s
Chapter 11 Solutions
Physics: Principles with Applications
Ch. 11 - Prob. 1OQCh. 11 - Prob. 2OQCh. 11 - 1. Is the acceleration of a simple harmonic...Ch. 11 - Prob. 2QCh. 11 - How could you double the maximum speed of a simple...Ch. 11 - 4.If a pendulum clock isaccurate at sea level,...Ch. 11 - Prob. 5QCh. 11 - For a simple harmonic oscillator, when (if ever)...Ch. 11 - Two equal masses are attached to separate...Ch. 11 - S. What is the approximate period of your walking...
Ch. 11 - What happens to the period of a playground swing...Ch. 11 - Why can you make water slosh back and forth in a...Ch. 11 - Is the frequency of a simple periodic wave equal...Ch. 11 - Prob. 12QCh. 11 - What kind of waves do you think will travel along...Ch. 11 - Since the density of air decreases with an...Ch. 11 - Prob. 15QCh. 11 - How did geophysicists determine that part of the...Ch. 11 - Prob. 17QCh. 11 - Prob. 18QCh. 11 - Prob. 19QCh. 11 - Prob. 20QCh. 11 - Prob. 21QCh. 11 - Prob. 22QCh. 11 - Why do the strings used for the lowest-frequency...Ch. 11 - Prob. 24QCh. 11 - Prob. 25QCh. 11 - Prob. 26QCh. 11 - Prob. 27QCh. 11 - Prob. 1MCQCh. 11 - 2. An object oscillates back and forth on the end...Ch. 11 - Prob. 3MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - At a playground, two young children are on...Ch. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 12MCQCh. 11 - Prob. 13MCQCh. 11 - A student attaches one end of a Slinky to the top...Ch. 11 - Prob. 15MCQCh. 11 - If a particle undergoes SHM with amplitude 0.21 m,...Ch. 11 - 2. (I) The springs of a 1700-kg car compress 5.0...Ch. 11 - An elastic cord is 61 cm long when a weight of 75...Ch. 11 - 4 (II) Estimate the stiffness of the spring in a...Ch. 11 - A fisherman's scale stretches 3.6 cm when a 2.4-kg...Ch. 11 - Prob. 6PCh. 11 - A mass mat the end of a spring oscillates with a...Ch. 11 - Prob. 8PCh. 11 - Figure 11-51 |O shows two examples of SHM, labeled...Ch. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - A 1.65-kg mass stretches a vertical spring 0.215...Ch. 11 - A 1 15-kg mass oscillates according to the...Ch. 11 - A 0.25-kg mass at the end of a spring oscillates...Ch. 11 - It takes a force of 91.0 N to compress the spring...Ch. 11 - Prob. 17PCh. 11 - Prob. 18PCh. 11 - A mass resting on a horizontal, frictionless...Ch. 11 - Prob. 20PCh. 11 - Prob. 21PCh. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - 25 (III) A 1.60-kg object oscillates at the end of...Ch. 11 - 26. (Ill) Consider two objects, A and B, both...Ch. 11 - A pendulum has a period of 1.85 s on Earth. Whatis...Ch. 11 - How long must a simple pendulum be if it is to...Ch. 11 - A pendulum makes 28 oscillations in exactly 50 s....Ch. 11 - Prob. 30PCh. 11 - Your grandfather clock's pendulum has a length of...Ch. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - 34 (III) A clock pendulum oscillates at a...Ch. 11 - A fisherman notices that wave crests pass the bow...Ch. 11 - A sound wave in air has a frequency of 282 Hz and...Ch. 11 - Prob. 37PCh. 11 - AM radio signals have frequencies between 550 kHz...Ch. 11 - Prob. 39PCh. 11 - A cord of mass 0.65 kg is stretched between two...Ch. 11 - A 0.40-kg cord is stretched between two supports,...Ch. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - Prob. 44PCh. 11 - 45 (II) The intensity of an earthquake wave...Ch. 11 - Prob. 46PCh. 11 - Prob. 47PCh. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Prob. 50PCh. 11 - Prob. 51PCh. 11 - Prob. 52PCh. 11 - Prob. 53PCh. 11 - A guitar string is 92 cm long and has a mass of...Ch. 11 - One end of a horizontal string is attached to a...Ch. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Prob. 60PCh. 11 - 61. What frequency of sound would have a...Ch. 11 - Prob. 62GPCh. 11 - An energy-absorbing car bumper has a spring...Ch. 11 - Prob. 64GPCh. 11 - A block of mass mis suspended from a ceiling by a...Ch. 11 - 66. A block with mass m =6.0 kg rests on a...Ch. 11 - Prob. 67GPCh. 11 - Prob. 68GPCh. 11 - Prob. 69GPCh. 11 - Prob. 70GPCh. 11 - A 320-kg wooden raft floats on a lake. When a...Ch. 11 - Prob. 72GPCh. 11 - Prob. 73GPCh. 11 - Prob. 74GPCh. 11 - Carbon dioxide is a linear molecule The...Ch. 11 - Prob. 76GPCh. 11 - Prob. 77GPCh. 11 - Prob. 78GPCh. 11 - Prob. 79GPCh. 11 - Prob. 80GPCh. 11 - Prob. 81GPCh. 11 - Prob. 82GPCh. 11 - The ripples in certain groove 10.2 cm from the...Ch. 11 - Prob. 84GPCh. 11 - Prob. 85GPCh. 11 - Prob. 86GPCh. 11 - Prob. 87GP
Additional Science Textbook Solutions
Find more solutions based on key concepts
The electric field on the axis of a uniformly charged ring has magnitude 380 kN/C at a point 5.0 cm from the ri...
Essential University Physics: Volume 2 (3rd Edition)
If it were technically and economically feasible to double the voltage, how would the required capacitance chan...
Essential University Physics (3rd Edition)
3. Absolute zero corresponds to a temperature of
(a) 0 K.
(b) –273° C.
(c) both of these
(d) neither of these
Conceptual Physical Science (6th Edition)
Consider a bright point light source located 1 m from a square opening with an area of 1 m2. Light passing thro...
Conceptual Integrated Science
24. A 10 cm × 10 cm × 10 cm wood block with a density of 700 kg/m3 floats in water.
a. What is the distance fro...
College Physics: A Strategic Approach (3rd 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 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_forwardConsider the nonlinear pendulum equation 0" + ) sin 0 = 0. The g denotes the gravitational acceleration and L denotes length. Suppose gravity g is 9.8 meters per second squared, and the length of the pendulum is 10 meters. Suppose the initial angle is 1 radians and initial angular velocity is 2.2 radians per second. Find the formula for the trajectory of the pendulum. Write theta" for 0. w? = help (formulas) Now find the maximum arly- : velocity of the pendulum given these initial conditions. Wmax help (numbers) Does the pendulum swing back and forth or keep rotating around its axis? ? The pendulum is swinging back and forth. N The pendulum is rotating around its axis.arrow_forwardA particle moves with simple harmonic motion between two points which are 11.8 cm apart. At the instant when the particle is 2.0 cm from one of the points, its acceleration is 48.0 cms−2. Calculate the absolute value of the velocity of the particle at the same instant. Give your answer in m/s.arrow_forward
- On a certain planet, a simple pendulum of length 1.4 m makes three complete oscillations in five seconds. Find the gravitational acceleration on such a planet. The results of all problems should be expressed in SI units, unless the problem tells you indicate in other units.arrow_forwardCalculate the value of the amplitude of the Resulting Vector for a body that has two simultaneous movements represented by Vector 1 moving towards the North with a speed of 4 miles / min and a second Vector 2 with a speed of 3 miles / min towards the West .arrow_forwardO 0.15 sec In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete two oscillations? O 1 sec O 2 sec O 4 sec O 0.5 sec O 0.25 secarrow_forward
- Two simple harmonic motions are represented by the equations y₁ = 10 sin (3πt + π/4) and y₂ = 5 (sin 3nt + √3cos 3nt). Their amplitudes are in the ratio of ......arrow_forward(0, 0) The graph of one cycle of the displacement x as a function of time t for a particle in simple harmonic motion is shown. Which of the following is the corresponding graphs for velocity v as a function of time t and acceleration a as a function of time t for the particle. (0, 0) (0, 0) (0, 0) (0, 0) (0, 0) D E A B D E a vs. t V vs. tarrow_forwardThe acceleration of an oscillator undergoing simple harmonic motion is described by the equation az(t)=-(14m/s²)cos(18t). Where the time t is measured on second 1. What is the amplitude of this oscillator?arrow_forward
- The velocities of a particle performing linear S.H.M. are 0.13 m/s and 0.12 m/s when it is at 0.12 m and 0.13 m from the mean position respectively. Find the period and amplitude.arrow_forwardA simple pendulum consists of massless string tied to a point on the ceiling and a mass (m) attached to the end of the string (length L). As the pendulum oscillates back and forth, the angle "theta" is shown from the vertical. The mass is released from rest with theta equal 60 degrees. The mass is 10 kilograms, and the length is 2 meters. Calculate the magnitude of the acceleration of the 10 kilogram mass when the pendulum makes a 30 degree angle to the vertical.arrow_forwardIn Problem,the distance d (in feet) that an object travels in time t (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its rest position? (c) What is the time required for one oscillation? (d) What is the frequency? . d=6sin(2t).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
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
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY