EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 56, Problem 2AR
Determine ∠A.
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9.7 Given the equations
0.5x₁-x2=-9.5
1.02x₁ - 2x2 = -18.8
(a) Solve graphically.
(b) Compute the determinant.
(c) On the basis of (a) and (b), what would you expect regarding
the system's condition?
(d) Solve by the elimination of unknowns.
(e) Solve again, but with a modified slightly to 0.52. Interpret
your results.
12.42 The steady-state distribution of temperature on a heated
plate can be modeled by the Laplace equation,
0=
FT T
+
200°C
25°C
25°C
T22
0°C
T₁
T21
200°C
FIGURE P12.42
75°C
75°C
00°C
If the plate is represented by a series of nodes (Fig. P12.42), cen-
tered finite-divided differences can be substituted for the second
derivatives, which results in a system of linear algebraic equations.
Use the Gauss-Seidel method to solve for the temperatures of the
nodes in Fig. P12.42.
9.22 Develop, debug, and test a program in either a high-level language or a macro
language of your choice to solve a system of equations with Gauss-Jordan elimination
without partial pivoting. Base the program on the pseudocode from Fig. 9.10. Test the
program using the same system as in Prob. 9.18. Compute the total number of flops in
your algorithm to verify Eq. 9.37.
FIGURE 9.10
Pseudocode to implement the
Gauss-Jordan algorithm with-
out partial pivoting.
SUB GaussJordan(aug, m, n, x)
DOFOR k = 1, m
d = aug(k, k)
DOFOR j = 1, n
aug(k, j) = aug(k, j)/d
END DO
DOFOR 1 = 1, m
IF 1 % K THEN
d = aug(i, k)
DOFOR j = k, n
aug(1, j)
END DO
aug(1, j) - d*aug(k, j)
END IF
END DO
END DO
DOFOR k = 1, m
x(k) = aug(k, n)
END DO
END GaussJordan
Chapter 56 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 56 - Add, subtract, multiply, or divide each of the...Ch. 56 - Determine A.Ch. 56 - Prob. 3ARCh. 56 - Express 68.85 as degrees and minutes.Ch. 56 - Express 64.1420 as degrees, minutes, and seconds.Ch. 56 - Express 3723' as decimal degrees to 2 decimal...Ch. 56 - Express 10338'43" as decimal degrees to 4 decimal...Ch. 56 - Using a simple protractor, measure each of the...Ch. 56 - Prob. 9ARCh. 56 - Write the complement of each of the following...
Ch. 56 - Write the complement of each of the following...Ch. 56 - Given: ABCD and FEGH . Determine the value of each...Ch. 56 - a. Determine: (1) 1 (2) Side a b. Determine: (1) 1...Ch. 56 - a. Given: a=8.400 and b=9.200 . Find c. b. Given:...Ch. 56 - Compute 1.Ch. 56 - Determine the circumference of a circle that has a...Ch. 56 - Determine the diameter of a circle that has a...Ch. 56 - a. Given: CD=184 mm and CE=118 mm. Determine CF...Ch. 56 - a. Given: EB=5.150. Determine AE . b. Given:...Ch. 56 - Given: Points A and E are tangent points. EB is a...Ch. 56 - a. Given: AC=110andr=4.700 Compute arc length AC...Ch. 56 - a. Given: Dia H=14.520 and d=8.300. Compute Dia M....Ch. 56 - Prob. 23ARCh. 56 - a. Given: x=360 inches and y=5.10 inches. Compute...Ch. 56 - Prob. 25ARCh. 56 - A flat is cut on a circular piece as shown....Ch. 56 - A spur gear is shown. Pitch circles of spur gears...Ch. 56 - Determine the arc length from point C to point D...Ch. 56 - Prob. 29ARCh. 56 - Determine dimension x to 3 decimal places.Ch. 56 - Refer to the drill jig shown. Determine 1.Ch. 56 - Prob. 32ARCh. 56 - Prob. 33ARCh. 56 - Lay out the template shown. Make the layout full...
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