EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 19, Problem 9P
Construct amplitude and phase line spectra for Prob. 19.8.
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How is constant amplitude sustained in forced oscillations?
An undamped spring mass system has a mass of 10 kg and a spring stiffness of 2250 N/m. It is excited by a harmonic force having a sine
function characteristic with amplitude of 200 N and an excitation frequency a 15 rad/s. The initial displacement and the velocity are 0.15 m
and 1.5 m/s respectively.
The frequency ratio is
The Particular solution at t=2s Choose...
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MENG430-Midterm- Formula Sheet
An undamped spring mass system has a mass of 10 kg and a spring stiffness of 2250 N/m. It is excited by a harmonic force having a sine
function characteristic with amplitude of 100 N and an excitation frequency of 15 rad/s. The initial displacement and the velocity are 0.15 m
and 1.5 m/s respectively.
The Particular solution at t = 2s
The frequency ratio is:
Choose...
Choose...
Chapter 19 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 19 - The average values of a function can be determined...Ch. 19 - The solar radiation for Tucson, Arizona, has been...Ch. 19 - 19.3 The pH in a reactor varies sinusoidally over...Ch. 19 - 19.4 Use a continuous Fourier series to...Ch. 19 - 19.5 Use a continuous Fourier series to...Ch. 19 - Construct amplitude and phase line spectra for...Ch. 19 - 19.7 Construct amplitude and phase line spectra...Ch. 19 - 19.8 A half-wave rectifier can be characterized...Ch. 19 - 19.9 Construct amplitude and phase line spectra...Ch. 19 - Develop a user-friendly program for the DFT based...
Ch. 19 - 19.11 Use the program from Prob. 19.10 to compute...Ch. 19 - 19.12 Develop a user-friendly program for the FFT...Ch. 19 - 19.13 Repeat Prob. 19.11 using the software you...Ch. 19 - An object is suspended in a wind tunnel and the...Ch. 19 - 19.15 Use the Excel Data Analysis ToolPak to...Ch. 19 - Use the Excel Data Analysis Toolpack to fit a...Ch. 19 - (a) Use MATLAB to fit a cubic spline to the...Ch. 19 - 19.18 Use MATLAB to generate 64 points from the...Ch. 19 - In a fashion similar to Sec. 19.8.2, use MATLAB to...Ch. 19 - Runges function is written as f(x)=11+25x2...Ch. 19 - A dye is injected into the circulating blood...Ch. 19 - In electric circuits, it is common to see current...Ch. 19 - Develop a plot of the following data with (a)...
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- e 3 ll 42% 16:32 ... INOI 920JUJUUWStuueimis.Jlu.euu.iD: Ovitch account 15 MCQS In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is TT S^(-1). What is the time needed for the pendulum to complete two oscillations? 4 sec 1 sec 2 sec 0.25 sec 0.5 sec A simple pendulum is made of a 50arrow_forward1- The amplitude of an undamped system subject to an initial displacement 0 and initial velocity x, is given by (a) (b) xw₁(c)(d) xo 2- The completum phase angle of an undamped system subject to an initial displacement x, and initial velocity 0 is given by (a) x. (b) 2x. (c) 0. (d); 3- When an initial excitation exerted on a vibrational system results in - - appearance. (a) natural frequency, (b) resonance. (c) beating. (d) none of these. 4- Undamped vibration is characterized by no loss of ----. (a) speed. (b) acceleration. (c) mass, (d) energy. (a) mass, (b) damper. 5- Vibratory system should at least consists of a spring and --- (c) mass and damper.arrow_forwardQuestion 4 A uniform rod of length L and mass M and is pivoted without friction about an axis through its midpoint (/ ML). A horizontal spring with constant k is 12 %3D attached to the lower end of the rod, with other end of the spring attached to a rigid support. The rod is displaced by a small angle 0 from the vertical and released. Find the period of the oscillation.arrow_forward
- Q5:- Fill the following blanks with suitable words. (a) The accelerometer must have... natural frequency. (b) The dissipation of energy in structural damping is hysteresis loop in the form of ........... (c) Simple harmoni motion can be represented by an exponential function with... ..........exponent. (d) The seismograph must have .. natural frequency. Q6:- Write TRUE on the correct sentences and FALSE on the wrong sentences listed below:- (a) The natural frequency of a body is independent on the material of the body. (b) The nature of decay in the friction damping is linear. (c) The energy method can be applied for forced vibration cases. (d) The condition of synchronous whirling is that the whirling and the rotating speeds of the shaft are equal.arrow_forwardDetermine the steady-state amplitudes of each of the blocks of Fig. P7.l.arrow_forwardB/s "ll 35.ll 2_53371919584... Discussion: -Large numerical values of k imply that a spring is very "stiff" and conversely. small values of k signify a "soft spring." Why? -Is the period of the mass-spring system dependent upon the amplitude of oscillation ?arrow_forward
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