Engineering Mechanics - Force Vectors

Exercise :: Force Vectors - General Questions

  • Force Vectors - General Questions
21. 

Determine the magnitude of the x and y components of the 2—kN force.

A. Fx = -1.414 kN, Fy = -1.414 kN
B. Fx = -1.000 kN, Fy = -1.732 kN
C. Fx = -1.732 kN, Fy = -1.000 kN
D. Fx = -4.000 kN, Fy = -2.312 kN

Answer: Option B

Explanation:

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22. 

Cable BC exerts a force of F = 28 N on the top of the flagpole. Determine the projection of this force along the positive z axis of the pole.

A. F = 24 N
B. F = -24 N
C. F = 12 N
D. F = 12 N

Answer: Option B

Explanation:

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23. 

Determine the magnitudes of the resultant force and its direction measured from the positive x axis.

A. R = 12.49 kN, = 43.9° CW
B. R = 13.6 kN, = 21.5° CW
C. R = 14.00 kN, = 60.0° CW
D. R = 10.80 kN, = 68.2° CW

Answer: Option A

Explanation:

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24. 

Determine the design angle ( <90°) bretween the two struts so that the 500-lb horizontal force has a component of 600lb directed from A toward C. That is the component of force acting along member AB?

A. FAB = 321 lb, = 40.0°
B. FAB = 383 lb, = 36.9°
C. FAB = 171.1 lb, = 20.0°
D. FAB = 215 lb, = 52.7°

Answer: Option D

Explanation:

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25. 

Determine the magnitude and direction of F so that this force has components of 40 lb acting from A toward B and 60lb acting from A toward C on the frame.

A. F = 44.7 lb, = 22.9°
B. F = 80.3 lb, = 46.2°
C. F = 62.9 lb, = 37.1°
D. F = 72.1 lb, = 56.3°

Answer: Option B

Explanation:

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