Engineering Mechanics - Force System Resultants

Exercise :: Force System Resultants - General Questions

  • Force System Resultants - General Questions
36. 

Express the moment of the couple acting on the pipe on Cartesian vector form. What is the magnitude of the couple moment?

A. Mc = (37.5i-25j) N-m, Mc = 45.1 N-m
B. Mc = (25i-37.5j) N-m, Mc = 45.1 N-m
C. Mc =45.1kN-m, Mc = 45.1 N-m
D. Mc =-45.1kN-m, Mc = 45.1 N-m

Answer: Option A

Explanation:

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37. 

Determine the direction (0° 180°) of the 30-lb force F so that the moment of F about point A has the maximum magnitude.

A. = 36.9°
B. = 53.1°
C. = 127.0°
D. = 90.0°

Answer: Option A

Explanation:

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38. 

Determine the moment of force F2 about point A on the beam.

A. M2 = 800 ft-lb
B. M2 = 50 ft-lb
C. M2 = 600 ft-lb
D. M2 = 37.5 ft-lb

Answer: Option C

Explanation:

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39. 

The distributed loadings of soil pressure on the sides and bottom of a spread footing are shown. Simplify this system to a single resultant force and couple moment acting at A. What is the resultant force F and the couple moment M?

A. F = (72i + 125j)N, M = 83.5 N-m CCW
B. F = (144i + 125j)N, M = 135.7 N-m CCW
C. F = (144i + 125j)N, M = 83.5 N-m CCW
D. F = (72i + 125j)N, M = 102.1 N-m CCW

Answer: Option D

Explanation:

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40. 

Replace the two forces acting on the tree branches by an equivalent force and couple moment acting at point O.

A. R = (60i+198j-36k) N, M = (747i+18j-924k) N-m
B. R = (60i+18j-324k) N, M = (747i+18j-924k) N-m
C. R = (60i+198j-36k) N, M = (360i+1260j-414k) N-m
D. R = (60i+18j-324k) N, M = (360i+1260j-414k) N-m

Answer: Option B

Explanation:

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