EBK ESSENTIAL UNIVERSITY PHYSICS, VOLUM
4th Edition
ISBN: 9780135272992
Author: Wolfson
Publisher: VST
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Chapter 13, Problem 79P
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 Solutions
EBK ESSENTIAL UNIVERSITY PHYSICS, VOLUM
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...
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