EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 8, Problem 22P
You buy a $20,000 piece of equipment for nothing down and $4000 per year for 6 years. What interest rate are you paying? The formula relating present worth P, annual payments A, number of years n, and interest rate i is
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An undamped single-degree-of-freedom system is subjected to dynamic excitation as shown in Figure 1.• System properties: m = 1, c = 0, k = (6π)2.• Force excitation: p(t) = posin(ωt) where po = 9 and ω = 2π.• Initial conditions: u(t = 0) = 0 and ̇u(t = 0) = 0.Please, complete Parts (a) through (d) using any computational tool of your preference. The preferred toolis MATLAB. Print and turn in a single pdf file that will include your code/calculations and your plots.(a) Generate the solution using a linear interpolation of the load over each time step (note that hereyou can use the undamped coefficients). Plot the displacement response for the first 4 seconds andcompare to the exact closed form solution. Repeat using the following time step sizes, ∆t = 0.01,0.05, 0.15, 0.20 seconds. Include the closed form solution and the solutions for different ∆t values in asingle plot. Please, provide your observations by comparing the closed form solution with the solutionsderived using the four…
Chapter 8 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 8 - 8.1 Perform the same computation as in Sec. 8.1,...Ch. 8 - 8.2 In chemical engineering, plug flow reactors...Ch. 8 - 8.3 In a chemical engineering process, water vapor...Ch. 8 - The following equation pertains to the...Ch. 8 - 8.5 A reversible chemical reaction
Can be...Ch. 8 - The following chemical reactions take place in a...Ch. 8 - The Redlich-Kwong equation of state is given by...Ch. 8 - The volume V of liquid in a hollow horizontal...Ch. 8 - The volume V of liquid in a spherical tank of...Ch. 8 - 8.10 For the spherical tank in Prob. 8.9, it is...
Ch. 8 - 8.11 The operation of a constant density plug flow...Ch. 8 - 8.12 The Ergun equation, shown below, is used to...Ch. 8 - The pressure drop in a section of pipe can be...Ch. 8 - 8.14 In structural engineering, the secant formula...Ch. 8 - 8.15 In environmental engineering (a specialty...Ch. 8 - 8.16 The concentration of pollutant bacteria c in...Ch. 8 - A catenary cable is one that is hung between two...Ch. 8 - 8.18 Figure P8.18a shows a uniform beam subject to...Ch. 8 - 8.19 The displacement of a structure is defined by...Ch. 8 - 8.20 The Manning equation can be written for a...Ch. 8 - In ocean engineering, the equation for a reflected...Ch. 8 - 8.22 You buy a $20,000 piece of equipment for...Ch. 8 - Many fields of engineering require accurate...Ch. 8 - 8.24 A simply supported beam is loaded as shown in...Ch. 8 - 8.25 Using the simply supported beam from Prob....Ch. 8 - Using the simply supported beam from Prob. 8.24,...Ch. 8 - Using the simply supported beam from Prob. 8.24,...Ch. 8 - 8.28 Although we did not mention it in Sec. 8.2,...Ch. 8 - 8.29 Perform the same computation as in Sec. 8.3,...Ch. 8 - An oscillating current in an electric circuit is...Ch. 8 - Prob. 31PCh. 8 - 8.32 A total charge Q is uniformly distributed...Ch. 8 - 8.33 Figure P8.33 shows a circuit with a resistor,...Ch. 8 - Beyond the Colebrook equation, other...Ch. 8 - Real mechanical systems may involve the deflection...Ch. 8 - Mechanical engineers, as well as most other...Ch. 8 - Aerospace engineers sometimes compute the...Ch. 8 - The general form for a three-dimensional stress...Ch. 8 - The upward velocity of a rocket can be computed by...Ch. 8 - The phase angle between the forced vibration...Ch. 8 - Two fluids at different temperatures enter a mixer...Ch. 8 - A compressor is operating at compression ratio Rc...Ch. 8 - In the thermos shown in Fig. P8.43, the innermost...Ch. 8 - 8.44 Figure P8.44 shows three reservoirs connected...Ch. 8 - A fluid is pumped into the network of pipes...Ch. 8 - 8.46 Repeat Prob. 8.45, but incorporate the fact...Ch. 8 - The space shuttle, at lift-off from the launch...Ch. 8 - 8.48 Determining the velocity of particles...
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