EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 27, Problem 22P
Use MATLAB or Mathcad to
where
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The values of p and h which renders (makes) the following set of equations dynamically and statically
decoupled are, respectively.
k,+k2 5 p+4 x1
= 0,
X2
7 h+1
+
[7h+1 J+e
5 p+4 J+e
h= -0.214 and p = -1.76
h = -0.143 and p= -0.8
h = -0.281 and p= -1.2
h = -0.081 and p = -0.536
Solve the initial value problem.
y" + 4y' + 20y = 0: y(0) = 2 y (0) = - 3
%3D
Chapter 6, Section 6.2, Go Tutorial Problem 12
Find Y(s).
2s + 5
Y(s):
s2 + 4s + 20
2s + 5
Y(s) =
s2 + 4s + 20
2s – 5
Y(s) :
+ 4s + 20
2 + 4s + 20
Y(s)
2s + 5
Determine if the system is consistent or inconsistent. Justify
your answer and find all solutions to the system of linear
equations. Justification should be written on your solution
paper.
Transform the matrix into ROW ECHELON FORM (REF) using
row operations.
2x +8y+ 6z = 20
4x+2y-2z =-2
3x-y+z = 11
Enter final answer: (x, y, z) =(
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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- using matlab: 1. Write a code that demonstrates sin2(x) + cos2(x) = 1 with different values. Assign: x1 = pi/6 x2 = pi/4 x3 = pi/3 and test all values.arrow_forwardSuppose that three coordinate frames 0₁X1Y1Z1, 02X2V2Z2 and 03X3Y3Z3 are given, and 0]: P². p³ 1 0 R3 = 0 0.5 LO 0.866 Find p¹ and matrix R₂. E R F4 Q Search %6 5 F5 -0.866; R3 = 0 -1 0.5 T 我道 F6 F7 & 7 99- PrtScn FB Home F9arrow_forward* :Q4/B/ the value of X-bar is 0.987 1.5 2 2.5 2.5 O 2.5 X 0.398 O 2.5 2.5 0.857 0.55 0.254 0.5 0.487 1.06 0.65arrow_forward
- Give MATLAB commands to plot, on the same figure, the two functions: f=3 r +2t- 0.5 g = 2 t cos(t) Where the variable t varies from 0 to 10 with step 0.5arrow_forwardFix my MATLAB code. % Define unknown quantities in x-y system % abc = Acceleration of B wrt C on beam CD in i direction % vbc = Velocity of B wrt C on beam CD in i direction % xacd = Angular acceleration of beam CD in k direction % xvcd = Angular velocity of beam CD in k direction syms abc vbc xacd xvcd; % Create Unit Vectors in x-y coordinates i = [1,0,0]; j = [0,1,0]; k = [0,0,1]; % Create Unit Vectors in X-Y coordinates (R is rotation Matrix) Theta = 150; % Angle from X-axis to x-axis R = [[cosd(Theta),-sind(Theta), 0]; ... [sind(Theta), cosd(Theta), 0]; [0, 0, 1]]; XYZ = R*[i;j;k]; I = XYZ(1,:); J = XYZ(2,:); K = XYZ(3,:); % Set known quantities for Beam AB (no slider connection). xVab = -2.5*K; % Angular Velocity of Beam AB xAab = -3*K; % Angular Acceleration of Beam AB Rba = 0.2*(cosd(135)*I + sind(135)*J ); % Vector from A to B in X-Y % Calculate velocity and acceleration of point B % due to rotation of Beam AB (no slider connection). Vb1 = cross(xVab,Rba); Ab1 =…arrow_forwardResponse using matlab.arrow_forward
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