Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 2.39P
For the even-functioned triangle wave signal defined by
y(f) = (4C/7> + C -T/2 <t <0
y(f) = (-4C/T)t +C0<t<T/2
where C is an amplitude and T is the period,
- Show that this signal can be represented by the Fourier series
/ x 4C(1 - cos nrc) 2jinr v(0 = >5COS --
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Determine the natural frequencies and mode shapes for the three-degree-of-freedom systems shown. Graphically illustrate the mode shapes and identify any nodes.
Determine the natural frequencies and mode shapes for the two-degree-of-freedom systems shown. Graphically illustrate the mode shapes and identify any nodes.
A sinusoidal wave on a string is described by the wave function y(x,t)=0.02sin(30x-400t). If the string's linear mass dinsity is 0.005kg/m, then the transmitted power is :
Chapter 2 Solutions
Theory and Design for Mechanical Measurements
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Research and describe the importance of...Ch. 2 - Research and describe the importance of data...Ch. 2 - Determine the average and rms values for the func...Ch. 2 - Prob. 2.6PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12P
Ch. 2 - Express the function y(t) = 4 sin 2xt + 15 cos...Ch. 2 - Prob. 2.14PCh. 2 - The Fourier series that formed the result for...Ch. 2 - The nth partial sum of a Fourier series is defined...Ch. 2 - For the Fourier series given by where t is time in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Show that y(t) = f2(—jc < t < k), y(t + 2k) = y(t)...Ch. 2 - Find the Fourier series of the function shown in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Determine the Fourier series that represents the...Ch. 2 - Consider the triangle wave shown in Figure 2.26 as...Ch. 2 - Prob. 2.24PCh. 2 - A particle executes linear harmonic motion around...Ch. 2 - Define the following characteristics of signals:...Ch. 2 - Construct an amplitude spectrum plot for the...Ch. 2 - Prob. 2.28PCh. 2 - Sketch representative waveforms of the following...Ch. 2 - Represent the function e(t) = 5 sin 31 At + 2 sin...Ch. 2 - Repeat Problem 2.30 using a data set of 256 num...Ch. 2 - A particular strain sensor is mounted to an...Ch. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Consider the upward flow of water and air in a...Ch. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - For the even-functioned triangle wave signal...Ch. 2 - Prob. 2.40P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The little brown bat is a common bat species in North America. It emits echolocation pulses at a frequency of 40 kHz, well above the range of human hearing. To allow observers to “hear” these bats, the bat detector as shown combines the bat’s sound wave at frequency f1 with a wave of frequency f2 from a tunable oscillator. The resulting beat frequency is isolated with a filter, then amplified and sent to a loudspeaker. To what frequency should the tunable oscillator be set to produce an audible beat frequency of 3 kHz?arrow_forwardAn industrial press is mounted on a rubber pad to be isolated from its foundation. If the rubber pad is compressed 5 mm by the self-weight of the press, find the natural frequency of the system. 7.1 rad/s 44.3 rad/s 34.8 rad/s 9.4 rad/sarrow_forwardTwo harmonic waves are described by y1=(7m)sin[(5/m)x-(100/s)t]y2=(7m)sin[(5/m)x-(100/s)t+2] what is the phase(in rad) of the resultant wave x=t=0? a) 3 b) 0 c) 2 d) 1 e) 4arrow_forward
- The acceleration time waveform was obtained from the outboard bearing of a rotor with a looseness problem. The waveform can be described by the equation: A(t) = 0.36sin(1050t +0.07) + 0.21sin(2100t-0.11) + 0.13sin(3150t) – 0.05sin(4200t) g 1. Determine the minimum number of samples for measuring the signal, based on a Nyquist Factor of 2.56. 2. List the frequencies and acceleration amplitudes that appear in the resulting frequency spectrum if an ideal bandpass filter rated at 170 Hz and 600 Hz is applied.arrow_forwardIn this Problem, the system of Fig. 5.4.14 (Attached) is taken as a model for an undamped car with the given parameters in fps units. (a) Find the two natural frequencies of oscillation (in hertz). (b) Assume that this car is driven along a sinusoidal washboard surface with a wavelength of 40 ft. Find thetwo critical speeds. m = 100, I =1000, L1 =6, L2 = 4, k1 = k2 = 2000arrow_forwardFind the natural frequencies for the system illustrated below.arrow_forward
- The pseudo-spectrum is associated with: a) pseudo-speed b) pseudo-acceleration c) pseudo-displacementarrow_forwardThe response of a system is given by xt=0.003cos 30t +0.004sin 30t m. Determine (a) the amplitude of motion, (b) the period of motion, (c) the frequency in Hz, (d) the frequency in rad/s, (e) the frequency in rpm, (f) the phase angle, and (g) the response in the form of xt=Asin (ωt+φ)arrow_forwardDiego is standing 7.0 m North of a pair of adjacent speakerswhich are facing him. The speakers are coherently producing afrequency of 686 Hz. Diego’s friend, Shalanda, is going to moveone of the speakers directly East. How far away from the sta-tionary speaker should Shaland move the other one such thatthe sound cancels out where Diego is standing? Find the mini-mum amount it should be moved. Hint: what is the conditionfor coherent waves to cancel?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Introduction to Undamped Free Vibration of SDOF (1/2) - Structural Dynamics; Author: structurefree;https://www.youtube.com/watch?v=BkgzEdDlU78;License: Standard Youtube License