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
Textbook Question
Chapter 16, Problem 61PQ
Consider the position data for the block given in Table P16.59. What are the signs of the block’s velocity and acceleration at the first five times listed?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A particle is oscillating, following the equation: x=4 cos 5t+ 6 sin 5t, where x is in meters and t is in seconds. e Determine a) the period of the oscillation in seconds, b) the amplitude in meters and the phase angle in degrees, and c) the maximum velocity and maximum acceleration of the particle, in m/s and m/s² respectively.
Q7. A particle, of mass 9 kg, is attached to two identical springs. The other ends of the springs
are attached to fixed points, A and B, which are 1.2 metres apart on a smooth horizontal surface.
The springs have modulus of elasticity 45 N and natural length 0.4 m.
The particle is released from rest at a distance of 0.5 metres from B and moves on the line AB.
The midpoint of AB is C. At time t seconds after release, the displacement of the particle
from C is x metres, where the direction from A to B is taken to be positive.
P
wwwwwwww
www
C
(a) Show that the resultant force on the particle, at time t, is -225x newtons.
Hence show that the particle moves with simple harmonic motion.
(b)
(c)
State the period of this motion.
(d)
Find the speed of the particle when it is 0.05 metres from C.
Write down an expression for x in terms of t.
B
Block A in Figure P13-29 is given an initial velocity of 6 m/s up the incline. It comes to a stop in distance d and then slides back down the incline with uniform acceleration. Determine (a) the distance d and (b) the velocity of A when it returns to its original point. FIGURE P13-29
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
- Use the position data for the block given in Table P16.59. Sketch a graph of the blocks a. position versus time, b. velocity versus time and c. acceleration versus time. There is no need to label the values of velocity or acceleration on those graphs. TABLE P16.59arrow_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_forward(a) If frequency is not constant for some oscillation, can the oscillation be SHM? (b) Can you think of any examples of harmonic motion where the frequency may depend on the amplitude?arrow_forward
- Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59arrow_forwardA 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_forward(a) The springs of a pickup truck act like a single spring with a force constant of 1.30105 N/m . By how much will the truck be depressed by its maximum load of 1000 kg? (b) If the pickup truck has four identical springs, what is the force constant of each?arrow_forward
- A small ball is tied to a string and hung as shown in Figure P8.34. It is released from rest at position 1, and, during the swing, the string meets a fixed peg as shown. Explain why position 2 at which the ball comes momentarily to rest must be at the same height as position 1.arrow_forwardConsider an undamped linear oscillator with a natural frequency ω0 = 0.5 rad/s and the step function a = 1 m/s2. Calculate and sketch the response function for an impulse forcing function acting for a time τ = 2π/ω0. Give a physical interpretation of the results.arrow_forwardThe equation of motion of a simple harmonic oscillator is given by x(t) = (18.0 cm) cos (10t) (16.0 cm) sin (10t), where t is in seconds. a. Find the amplitude. b. Determine the period. c. Determine the initial phase.arrow_forward
- A mass on a spring undergoing simple harmonic motion completes 4.00 cycles in 14.0 s. a. What is the period of motion for this system? b. What is the frequency, in hertz, of this system? c. What is the angular frequency of this system?arrow_forward券 A child bounces in a harness suspended from a door frame by three elastic bands. (a) If each elastic band stretches 0.200 m while supporting a 5.95-kg child, what is the force constant for each elastic band? N/m (b) What is the time for one complete bounce of this child? (c) What is the child's maximum velocity if the amplitude of her bounce is 0.200 m? m/sarrow_forwardThe device pictured in the figure below entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring constant. (a) If the spring stretches 0.25 m while supporting an 8.5 kg child, what is its spring constant? N m (b) What is the time for one complete bounce of this child? S (c) What is the child's maximum velocity if the amplitude of her bounce is 0.22 m? m Sarrow_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
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher: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
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
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