Essential University Physics: Volume 1; Mastering Physics with Pearson eText -- ValuePack Access Card -- for Essential University Physics (3rd Edition)

3rd Edition

ISBN: 9780134197319

Author: Richard Wolfson

Publisher: PEARSON

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Textbook Question

Chapter 13, Problem 80P

You’re a structural engineer working on a design for a steel beam, and you need to know its resonant frequency. The beam’s mass is 3750 kg. You test the beam by clamping one end and deflecting the other so it bends, and you determine the associated potential energy. The table below gives the results:

Beam deflection x (cm)	Potential energy U (J)
−4.54	164
−3.49	141
−2.62	71.9
−1.22	9.15
−0.448	0.162
0	0
0.730	4.13
1.29	16.3
2.13	34.0
3.39	115
4.70	225

Find a quantity which, when U is plotted against it, should give a straight line. Make your plot, determine the best-fit line, and use its slope to determine the resonant frequency of the beam.

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Chapter 13, Problem 79P

Chapter 13, Problem 81P

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Chapter 13 Solutions

Essential University Physics: Volume 1; Mastering Physics with Pearson eText -- ValuePack Access Card -- for Essential University Physics (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. 16E Ch. 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. 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 - 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. 79P 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 - 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...

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