Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This sit uation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points
2 answers:
Answer:
f1: 0.440, f2: 0.931, f3: 1.519
Step-by-step explanation:
To solve the system of equations we need to use the inverse of matrix A, as follows:
A x F = C
A^-1 x A x F = A^-1 x C
I x F = A^-1 x C
where I is the identity matrix.
The inverse of A is:
1.450 -0.392 -0.090
A^-1 = -0.074 -0.022 0.1536
-0.406 0.7122 -0.060
(computed with Excel)
The multiplication between the inverse of A and C gives:
0.440
A^-1 x C = 0.931
1.519
(computed with Excel)
Answer:
1f = .441
f2 = .931
f3 = 1.520
Step-by-step explanation:
did it on edge 2020
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