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# Engineering Mechanics - Force System Resultants

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### Exercise

• General Questions
"Time and tide wait for none."
- Alexander Pope
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

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°

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

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

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