Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13, Problem 44P
To determine
To show: The equation
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
P13.28 Normalize the set of functions $„(0) = eino,
0 ≤ 0 ≤ 2π. To do so, you need to multiply the functions by
a normalization constant N so that the integral
•2π,
N N* ² m(0)n(0) do
= 1 for m = n.
#12:
Compute the line energy of dislocation in fcc, diamond. The shear modulus of
carbon is 462 GNm 2. The diameter of carbon atom in diamond is 1.54Å.
Answer: 1.46 x 10-³J/m
Chapter 13 Solutions
Essential University Physics: Volume 1 (3rd Edition)
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 - Is a vertically bouncing ball an example of...Ch. 13 - The vibration frequencies of molecules are much...Ch. 13 - What happens to the frequency of a simple harmonic...
Ch. 13 - If the spring of a simple harmonic oscillator is...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 - Explain how simple harmonic motion might be used...Ch. 13 - One pendulum consists of a solid rod of mass m and...Ch. 13 - The x- and y-components of motion of a body are...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 - How can a system have more than one resonant...Ch. 13 - Prob. 16ECh. 13 - A violin string playing the note A oscillates at...Ch. 13 - The vibration frequency of a hydrogen chloride...Ch. 13 - Write expressions for the displacement x(t) in...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 - The quartz crystal in a watch executes simple...Ch. 13 - A 342-g mass is attached to a spring and undergoes...Ch. 13 - A particle undergoes simple harmonic motion with...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 - Youre riding in a friends 1400-kg car with bad...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 - A simple model for carbon dioxide consists of...Ch. 13 - Two identical massspring systems consist of 430-g...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. 44PCh. 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 - A pendulum consists of a 320-g solid ball 15.0 cm...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 - The equation for an ellipse is (x2/a2) + (y2/b2) =...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 - A 500-g mass is suspended from a thread 45 cm long...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 - Youre working on the script of a movie whose plot...Ch. 13 - A 1.2-kg block rests on a frictionless surface and...Ch. 13 - A disk of radius R is suspended from a pivot...Ch. 13 - Prob. 79PCh. 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 - Youve inherited your great-grandmothers mantle...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.Similar questions
- T5arrow_forwardThe energy E of a system of three independent harmonic oscillators is given by 1 E = (Nx + ½)ħw + (ny + ½ )ħw + (nz + 1⁄)ħw. 2 (20.49) Show that the partition function Z is given by Z = ZSHO, (20.50) where ZSHO is the partition function of a simple harmonic oscillator given in eqn 20.3. Hence show that the Helmholtz function is given by 3 F = = ħw + 3k³Tln(1 – e¯ßhw), (20.51) and that the heat capacity tends to 3kB at high temperature.arrow_forwardSolve the following differential equations. You may have to leave your answer implicit. 1) y'=(y-4x)/(x-y) is it isobaric? 2) x(1+y2)y'+x2y3=0 hint: try the integrating factor λ(x)= 1/xy3arrow_forward
- Simplified the equations for an electric motor can be given ϴ``(t) + 2ϴ`(t) = u(t) Where ϴ(t) is the motor shaft angle, and u(t) is the voltage applied to the armature windings. a) Write down a state equation for the motor assuming a state vector X(t) = [ϴ(t) ϴ`(t)]T and input u(t). b) Transform the state equation to that for a new state variable z(t) so that the new ``A matrix`` is orthogonal. c) Assuming that ϴ(0) = ϴ` (0) = 0 , solve for x(t) , t ≥ 0 , when u(t) = e-t , t ≥ 0 .arrow_forward1arrow_forwardneed answer itarrow_forward
- You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down a plane inclined at an angle 0 = 24.0° to the horizontal. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the figure below, separated by a distance l = 2.50 m. B m The smooth bars of mass m = 1.00 kg Will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude B, and a resistor of resistance R = 1.55 N is connected between the upper ends of the rails. Determine the magnetic field necessary (in T) in your device so that the bars will arrive at the…arrow_forwardSolve (12.3) if G = 0 and dG/dt = 0 at t = 0 to obtain (12.5). Hint: Use L28 andL3 to find the inverse transform.arrow_forwardYou are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down a plane inclined at an angle 8 = 24.0° to the horizontal. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the fiqure below, separated by a distance { = 2.10 m. R m The smooth bars of mass m = 1.00 kg will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude B, and a resistor of resistance R = 1.25 N is connected between the upper ends of the rails. Determine the magnetic field necessary (in T) in your device so that the bars will arrive at the…arrow_forward
- Use the commutator results, [â, ô] = iħ, [x²,p] = 2iħâ, and [ÂÂ, Ĉ] = Â[Â, Ĉ] + [‚ Ĉ]B, to find the commutators given below. (a) [x, p²] (b) [x³, p] (c) [x², p²]arrow_forwardhello what sort of calculator did you use? i am using ti 84 and ti 89 still not getting the answer even when i use you numbers. i am a bit confused about that.arrow_forwardIn 2019, the International Committee for Weights and Measures adopted a new set of denitions for the fundamentalunits of the SI system. The three important base units in classical mechanics are the unit of time (s), the unit of length(m), and the unit of mass (kg). These three units are derived from three physical constants in the new SI system: Quantity Symbol UnitsTransition Frequency of Cesium 133 ∆ν sPlanck’s Constant h kg ⋅ m2∕sSpeed of Light c m∕s Use dimensional analysis to determine the combination of these three parameters that will dene the base units ofthe SI system.(a) What combination of h, c, and ∆ν denes a second?(b) What combination of h, c, and ∆ν denes a meter?(c) What combination of h, c, and ∆ν denes a kilogram?You only need to nd the combination of h, c, and ∆ν that has the right units. Your answer should not involve…arrow_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 LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher: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