EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 27, Problem 8P
Repeat Example 27.4 but for three masses. Produce a plot like Fig. 27.6 to identify the principle modes of vibration. Change all the k's to 240.
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Show the complete solution for this force vibration without damping equation.
Select the right answer for each of the following:
1- The damped vibrational system is.
system, (c) none of these, (d) false statement.
(a) conservative system, (b) nonconservative
(a) viscous (b) solid
2- When a system vibrates in a fluid medium, the damping is
(c) Coulomb.
3- When an initial excitation exerted on a vibrational system results in -
ippearance.
(a) natural frequency. (b) resonance. (c) beating. (d) none of these.
4- Undamped vibration is characterized by no loss of 1) (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.
mass of 201bf of mass is hanging on a spring that is fixed on the ceiling. The spring used is Aluminum with a
spring constant of 810 N/m. Solve for the
a. Natural frequency, rad/s
b. Frequency, Hz
C.
Period, s
For Problem no. 3, which of the materials would give the minimum total deformation for the spring setup? Show
your solution and compare the deformation for each material. Rank from material with least deformation to material with
most deformation.
a. Gold, 920 N/m
b. Aluminum 8,10 N/m
C. Titanium 1,450 N/m
d. Platinum, 2,060 N/m
Chapter 27 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 27 - A steady-state heat balance for a rod can be...Ch. 27 - 27.2 Use the shooting method to solve Prob. 27.1....Ch. 27 - 27.3 Use the finite-difference approach with to...Ch. 27 - 27.4 Use the shooting method to solve
Ch. 27 - Solve Prob. 27.4 with the finite-difference...Ch. 27 - 27.7 Differential equations like the one solved...Ch. 27 - 27.8 Repeat Example 27.4 but for three masses....Ch. 27 - 27.9 Repeat Example 27.6, but for five interior...Ch. 27 - Use minors to expand the determinant of...Ch. 27 - 27.11 Use the power method to determine the...
Ch. 27 - 27.12 Use the power method to determine the...Ch. 27 - Develop a user-friendly computer program to...Ch. 27 - Use the program developed in Prob. 27.13 to solve...Ch. 27 - 27.15 Develop a user-friendly computer program to...Ch. 27 - Use the program developed in Prob. 27.15 to solve...Ch. 27 - 27.17 Develop a user-friendly program to solve...Ch. 27 - Develop a user-friendly program to solve for the...Ch. 27 - 27.19 Use the Excel Solver to directly solve...Ch. 27 - Use MATLAB to integrate the following pair of ODEs...Ch. 27 - The following differential equation can be used to...Ch. 27 - 27.22 Use MATLAB or Mathcad to...Ch. 27 - 27.23 Use finite differences to solve the...Ch. 27 - Solve the nondimensionalized ODE using finite...Ch. 27 - 27.25 Derive the set of differential equations for...Ch. 27 - 27.26 Consider the mass-spring system in Fig....Ch. 27 - 27.27 The following nonlinear, parasitic ODE was...Ch. 27 - A heated rod with a uniform heat source can be...Ch. 27 - 27.29 Repeat Prob. 27.28, but for the following...Ch. 27 - 27.30 Suppose that the position of a falling...Ch. 27 - Repeat Example 27.3, but insulate the left end of...
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