0.5T1 = 0.866T2 (1) 0.5T2 + 0.866T1 = 196 (2)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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4. A 20 kg object is suspended by two cables as shown in figure below. The tensions T1 and T2 satisfy the following
system of equations
0.5T1 = 0.866T2
(1)
0.5T2 + 0.866T1 = 196
(2)
(a) Write the system of equations (1) and (2) in the matrix form AT = b, where T =|A In other words, find
matrices A and b. What are the dimensions of A and b?
(b) Find Ti and T2 using the matrix algebra method. Perform all matrix computation by hand.
(c) Find Ti and T2 using Cramer's rule.
60°
30°
30°
|20 kg
g = 9.8 m/sec?
W
Transcribed Image Text:4. A 20 kg object is suspended by two cables as shown in figure below. The tensions T1 and T2 satisfy the following system of equations 0.5T1 = 0.866T2 (1) 0.5T2 + 0.866T1 = 196 (2) (a) Write the system of equations (1) and (2) in the matrix form AT = b, where T =|A In other words, find matrices A and b. What are the dimensions of A and b? (b) Find Ti and T2 using the matrix algebra method. Perform all matrix computation by hand. (c) Find Ti and T2 using Cramer's rule. 60° 30° 30° |20 kg g = 9.8 m/sec? W
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