Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 7, Problem 3P

Consider the two-loop circuit shown in Fig P7.3. The currents l 1 and l 2 (in A) satisfy the following system of equations:

1100 l 1 + 1000 l 2 9 = 0 ( 7.88 ) 1100 l 2 + 1000 l 1 = 0 ( 7.89 )

Chapter 7, Problem 3P, Consider the two-loop circuit shown in Fig P7.3. The currents l1 and l2 (in A) satisfy the following

(a)Find l 1 and l 2 using the substitutions method.

(b) Write the system of equations ( 7.88 ) and ( 7.89 ) in the matrix form A I = b , where I = [ I 1 I 2 ] .

(c) Find l 1 and l 2 using the matrix algebra method. Perform all computations by hand and show all steps.

(d) Find l 1 and l 2 using the Cramer’s rule.

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Chapter 7 Solutions

Introductory Mathematics for Engineering Applications

Ch. 7 - A 100 lb weight is suspended by two cables as...Ch. 7 - A two-bar truss Supports a weight of W = 750 lb as...Ch. 7 - A 10 kg object is suspended from a two-bar truss...Ch. 7 - A F = 100 N force is applied to a two-bar truss...Ch. 7 - A force F = 200 lb is applied to a two-bar truss...Ch. 7 - The weight of a vehicle is supported by reaction...Ch. 7 - Solve problem P7.16 if the system of equations are...Ch. 7 - Solve problem P7.16 if the system of equations are...Ch. 7 - A vehicle weighing W = 10 kN is parked on an...Ch. 7 - A vehicle weighing W = 2000 lb is parked on an...Ch. 7 - A 100 lb crate weighing W = 100 lb is pushed...Ch. 7 - A crate weighing W = 500 N is pushed against an...Ch. 7 - A 100 kg desk rests on a horizontal plane with a...Ch. 7 - A 200 kg desk rests on a horizontal plane with a...Ch. 7 - The weight of a vehicle is supported by reaction...Ch. 7 - Repeat problem P7-25, if l1=2m, l2=1.5m, k=1.5m,...Ch. 7 - Repeat problem P7-25, if l1=2m, l2=2m, k=1.5m,...Ch. 7 - Repeat problem P7-25, if l1=2m, l2=2m, k=1.5m,...Ch. 7 - Prob. 29PCh. 7 - An environmental engineer wishes to blend a single...Ch. 7 - Repeat problem P7-30 if V=400L, C=0.2, c1=0.2, and...Ch. 7 - Consider the two-loop circuit shown in Fig. P7.32....Ch. 7 - Consider the two-loop circuit shown in Fig. P7.33....Ch. 7 - Consider the two-node circuit shown in Fig. P7.34....Ch. 7 - A mechanical system along with its free body...Ch. 7 - Fig. P7.36 shows a system with two-mass elements...Ch. 7 - A co-op Student at a composite materials...Ch. 7 - Repeat parts (a)—(d) of problem P7-37 if...Ch. 7 - A structural engineer is performing a finite...Ch. 7 - A structural engineer is designing a crane that is...
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