Question
Asked Feb 3, 2020
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Use the the diagram to answer 2-6,7,8. Thank You 

2–6. Determine the magnitude of the resultant force
FR = F, + F, and its direction, measured clockwise from
the positive u axis.
2–7. Resolve the force F1 into components acting along
the u and v axes and determine the magnitudes of the
components.
*2-8. Resolve the force F2 into components acting along
the u and v axes and determine the magnitudes of the
components.
30°
75°
F = 4 kN
30°
и
F, = 6 kN
Probs. 2–6/7/8
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2–6. Determine the magnitude of the resultant force FR = F, + F, and its direction, measured clockwise from the positive u axis. 2–7. Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components. *2-8. Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components. 30° 75° F = 4 kN 30° и F, = 6 kN Probs. 2–6/7/8

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Expert Answer

Step 1: 2-6

The parallelogram is drawn by a line from F1’s head which is parallel to F2, and another line from F2‘s head which is parallel to F1. The point of intersection of the line is met by the resultant force FR. Draw the parallelogram and the vector triangle.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

Understand which the sum of the consecutive angles is equal to 180°.

Mechanical Engineering homework question answer, step 2, image 1

Step 3

Apply the law of sines in the vector triangle.

Mechanical Engineering homework question answer, step 3, image 1

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