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2 years ago

I need to know how to solve: finding magnitudes of forces related to a sum of three vectors

Physics

1 answer:

andre [41]2 years ago

7 0

The solution is (v, u) = (- 585.709, 593,034). Please notice that the value of v only means that the direction of the <em>real</em> vector is antiparallel to the supposed one.

<h3>What are the magnitudes of two vectors to get the zero vector by vector sum?</h3>

According to the definition of vector sum and vectors in rectangular form, we must solve the following vector equation:

(0, 0) = 205 · (cos 23°, - sin 23°) + v · (- cos 75°, sin 75°) + u · (- cos 55°, - sin 55°)

(0, 0) = (188.703, 80.100) + v · (- 0.259, 0.966) + u · (- 0.574, 0.819)

(- 188.703, - 80.100) = v · (- 0.259, 0.966) + u · (- 0.574, 0.819)

Then, we must solve the following system of linear equations:

- 0.259 · v - 0.574 · u = - 188.703

0.966 · v + 0.819 · u = - 80.100

The solution is (v, u) = (- 585.709, 593,034). Please notice that the value of v only means that the direction of the <em>real</em> vector is antiparallel to the supposed one.

To learn more on vectors: brainly.com/question/13322477

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