Engineering Mechanics - Force Vectors

Exercise :: Force Vectors - General Questions

  • Force Vectors - General Questions
16. 

Determine the magnitude and direction of the resultant force.

A. R = 251 N, = 85.5° CCW
B. R = 251 N, = 94.5° CCW
C. R = 421 N, = 67.7° CCW
D. R = 421 N, = 112.3° CCW

Answer: Option A

Explanation:

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17. 

The gusset plate G of a bridge joint is subjected to the two member forces at A and B. If the force at B is horizontal and the force at A is directed at = 30°, determine the magnitude and direction of the resultant force.

A. R = 458 N, = 97.5° CCW
B. R = 252 N, = 82.5° CCW
C. R = 252 N, = 97.5° CCW
D. R = 458 N, = 82.5° CCW

Answer: Option C

Explanation:

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18. 

If = 20° and = 35°, determine the magnitudes of F1 and F2 so that the resultant force has a magnitude of 20 lb and is directed along the positive x axis.

A. F1 = 20.0 lb, F2 = 22.9 lb
B. F1 = 25.6 lb, F2 = 26.6 lb
C. F1 = 28.5 lb, F2 = 11.91 lb
D. F1 = 14.00 lb, F2 = 8.35 lb

Answer: Option D

Explanation:

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19. 

Determine the angle between the pole AC and the wire AB.

A. = 131.8°
B. = 70.5°
C. = 109.5°
D. = 48.2°

Answer: Option B

Explanation:

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20. 

Two forces act on a block. Determine the angle between them.

A. = 135.0°
B. = 65.1°
C. = 45.0°
D. = 114.9°

Answer: Option D

Explanation:

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