Explanation Refer equation 13.18: Write the expression for the differential equation. m d 2 x d t 2 = − k x − b ( d x d t ) + F d cos ( ω d t ) (I) Here, ( d 2 x / d t 2 ) is the second order differential equation of displacement, m is the mass, k is the spring constant, x is the displacement, b is the constant, F d is the driving force, ω d is the driving frequency, ( d x / d t ) is the first order of differential equation for displacement and t is time. Conclusion: Substitute, A cos ( ω d t + ϕ ) for x in equation (I). m d 2 [ A cos ( ω d t + ϕ ) ] d t 2 = − k [ A cos ( ω d t + ϕ ) ] − b ( d [ A cos ( ω d t + ϕ ) ] d t ) + F d cos ( ω d t )

4th Edition

ISBN: 9780136780984

Author: Wolfson

Publisher: PEARSON

See similar textbooks

Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience …

Question

Chapter 13, Problem 73P

To determine

Check the solution satisfies the equation or not.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13, Problem 72P

Chapter 13, Problem 74P

Students have asked these similar questions

the cable may break and cause severe injury. cable is more likely to break as compared to the [1] ds, inclined at angles of 30° and 50° to the vertical rings by way of a scaled diagram. [4] I 30° T₁ 3cm 3.8T2 cm 200 N 50° at it is headed due North and its airspeed indicat 240 km/h. If there is a wind of 100 km/h from We e relative to the Earth? [3]

Can you explain this using nodal analysis With the nodes I have present And then show me how many KCL equations I need to write, I’m thinking 2 since we have 2 dependent sources

state the difference between vector and scalar qu

Chapter 13 Solutions

ESSENTIAL UNIV.PHYS.-MOD.MASTERING(18W)

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 - The vibration frequencies of molecules are much...Ch. 13 - What happens to the frequency of a simple harmonic...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 - One pendulum consists of a solid rod of mass m and...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 - Prob. 11E Ch. 13 - A violin string playing the note A oscillates at...Ch. 13 - The vibration frequency of a hydrogen chloride...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 - A 342-g mass is attached to a spring and undergoes...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 - Prob. 28E 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 - Prob. 32E Ch. 13 - Prob. 33E Ch. 13 - Prob. 34E Ch. 13 - Example 13.2: Repeal the preceding problem, now...Ch. 13 - Example 13.5: A mass–spring system is oscillating...Ch. 13 - Prob. 37E Ch. 13 - Example 13.5: A sample pendulum is swinging with...Ch. 13 - Example 13.5: A simple pendulum of muss m is...Ch. 13 - A simple model for carbon dioxide consists of...Ch. 13 - Prob. 41P 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. 44P Ch. 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 - Prob. 55P 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 - Prob. 60P 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 - Prob. 73P 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 - A disk of radius R is suspended from a pivot...Ch. 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 - The pendulum in an antique clock consists of a...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...

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.