PHYSICS FOR SCIEN & ENGNR W/MOD MAST
4th Edition
ISBN: 9780134112039
Author: GIANCOLI
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14, Problem 17P
(II) The position of a SHO as a function of time is given by x = 3.8 cos(5πt/4 + π/6) where t is in seconds and x in meters Find (a) the period and frequency, (b) the position and velocity at t = 0, and (c) the velocity and acceleration at t = 2.0 s.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
11)
Based on observations, the speed of a jogger can be approximated by the relation v= 7.5(1 – 0.04x)0.3, where vand x are expressed in km/h and
kilometers, respectively. Know that x= 0 at t= 0.
Determine the distance the jogger has run when t= 1.3 h.
12–3. A particle travels along a straight line with a velocity
v = (12 – 32) m/s, where t is in seconds. When t = 1 s, the
particle is located 10 m to the left of the origin. Determine
the acceleration when t= 4 s, the displacement from t =0 to
t = 10 s, and the distance the particle travels during this
time period.
1) A person's heartbeat is measured to be 65 beats per minute.What is the period between heartbeats in seconds?
Chapter 14 Solutions
PHYSICS FOR SCIEN & ENGNR W/MOD MAST
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
To maintain a constant speed, the force provided by a car’s engine must equal the drag force plus the force of ...
University Physics Volume 1
The diagram shows Bob’s view of the passing of two identical spaceships. Anna’s and his own, where v=2 . The le...
Modern Physics
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
Three students discuss the final momentum and kinetic energy of each cart. Student 1: "Since the same force is ...
Tutorials in Introductory Physics
Does it ever make sense to say that one object is twice as hot as another? Does it matter whether one is referr...
An Introduction to Thermal 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
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
- (3). The following data of the velocity of a body as a function of time is given Time (s) 0 15 Velocity (m/s) 22 24 18 37 22 25 24 123 Find the coefficients of the Newton's divided difference interpolating third order polynomial to find the velocity at t = 14 s. Answer: velocity at 14 seconds = 17.339 m/sarrow_forward-) x(- e. 36 inches/second x ) ×(- x(- km/hourarrow_forward25. The equation of motion of a point is given as x = xo sin( (π/6 Hz) ⋅ t ) where Xo = 1 m. At what times are the maximum speed and maximum acceleration reached (all quantities in Sl units)? [Vmax at: 0 s, (6 s), 12 s, ...; amax at: (3 s), 9 s, ...]arrow_forward
- 1.2 Units Which of the following would be closest to the height of a standard door frame? O 20 m O 0.02 m O 200 m O 0.2 m O 2 m Save for Laterarrow_forwardIf y 0.2 sin ( 3x - 40t) (Si units) what is the speedarrow_forward(II) Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s²), t the time, and the subscript zero (0) t = 0. Here are their equations: (a) x = vt² + 2at, (b) x = vot + } ať, and (c) x = vot + 2ať?. Which of these could possibly be correct according to a dimensional check, and why? means a quantity at timearrow_forward
- On December 26, 2004, a great earthquake occurred off the coast of Sumatra and trig- gered immense waves (tsunami) that killed some 200, 000 people. Satellites observing these waves from space measured 800 km from one wave crest to the next and a period between waves of 1.0 hour. What was the speed of these waves in m/s and km/h? Does your answer help you understand why the waves caused such devastation?arrow_forwardIn 2004 a massive 10-30m high tsunami was created in the eastern Indian Ocean by anearthquake in Sumatra resulting in the loss of hundreds of thousands of lives. The coast of Africa lies7000km to the west of Sumatra. Knowing that tsunami’s propagate at a speed v = √gH, how longdid it take for the tsunami to strike Africa?arrow_forwardIf a = 4 m/s^2, determine s when t = 3 s if v = 2 m/s and s = 2 m when t = 0.arrow_forward
- 10. A small toy airplane is flying in the xy – plane parallel to the ground. During the time interval t1 = Os and t2 = 1s, its velocity as a function of time is given by т т m 3 = 1.2 sz ti + (12- -2t)) At what values of t is the velocity of the plane perpendicular to its acceleration?arrow_forwardMHF 4U1 Page 4 5. The displacement of an object, in metres, is given by f(t) =5t-41 +1-3, where t is time in seconds. (a) Find the average rate of change of displacement with respect to time from t = ls to t= 4s. (b) Determine the instantaneous rate of change of displacement with respect to time at t= 4s. (Use an h value of 0.01.)arrow_forwardill BITE_LV ? 12:50 PM @マ 84% A physics.area.lv Question 4 of 7 What physical quantity is represented by symbol h in equation gt2 o Height of the device O Disc outer radius I = m: 2 - 1 2h o Rope length o Height of the pendulum fall Submit Answer くarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
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