Engineering Mechanics - Force Vectors

Exercise :: Force Vectors - General Questions

  • Force Vectors - General Questions
26. 

Express each force in Cartesian vector form.

A. F1 = (2.50 i + 3.54 j + 2.50 k) kN, F2 = -2 j kN
B. F1 = (4.33 i + 3.54 j + 4.33 k) kN, F2 = -2 j kN
C. F1 = (2.17 i + 3.75 j + 4.33 k) kN, F2 = -2 j kN
D. F1 = (4.33 i + 3.75 j + 2.17 k) kN, F2 = -2 j kN

Answer: Option A

Explanation:

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27. 

Determine the magnitude and direction angles of F2, so that the resultant of the two forces acts upward along the z axis of the pole and has a magnitude of 275 N.

A. F2 = 246 N, = 54.9°, = 114.0°, = 44.7°
B. F2 = 200 N, = 45.0°, = -60.0°, = 29.0°
C. F2 = 200 N, = 45.0°, = 120.0°, = 29.0°
D. F2 = 246 N, = 54.9°, = 66.0°, = 44.7°

Answer: Option A

Explanation:

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28. 

Determine the design angle for connecting member A to the plate if the resultant force is to be directed vercially upward. Also, what is the magnitude of the resultant?

A. R = 400 N, = 53.5°
B. R = 250 N, = 30.0°
C. R = 300 N, = 36.9°
D. R = 640 N, = 38.6°

Answer: Option C

Explanation:

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