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# Engineering Mechanics - Force System Resultants

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### Exercise

• General Questions
"Two things are infinite: the universe and human stupidity; and I'm not sure about the universe."
- Albert Einstein
1.

The main beam along the wing of an airplane is swept back at an angle of 25°. From load calculations it is determined that the beam is subjected to couple moments aMx = 25,000 lb • ft and My = 17,000 lb • ft. Determine the equivalent couple moments created about the x' and y' axis.

 A. Mx' = 26.0 kip-ft, My' = 29.8 kip-ft B. Mx' = 29.8 kip-ft, My' = -4.84 kip-ft C. Mx' = 26.0 kip-ft, My' = 15.47 kip-ft D. Mx' = 29.8 kip-ft, My' = 4.84 kip-ft

2.

Determine the moment of force F1 about point A on the beam.

 A. M1 = 1600 ft-lb B. M1 = 100 ft-lb C. M1 = 100 ft-lb D. M1 = 1600 ft-lb

3.

Determine the magnitude and direction of the moment of the force of the movement if the force at A about point P.

 A. Mp = 400 Nm B. Mp = 400 Nm C. Mp = 200 Nm D. Mp = 200 Nm

4.

Replace the force at A by an equivalent force and couple moment at P.

 A. F = 15 kN @ = 36.9° , Mp = 67.1 kN-m B. F = 15 kN @ = 36.9° , Mp = 30 kN-m C. F = 15 kN @ = 143.1° , Mp = 67.1 kN-m D. F = 15 kN @ = 143.1° , Mp = 30 kN-m

5.

Determine the magnitude of the projection of the moment cause by the force about the aa axis.

 A. Maa = 80.0 N-m B. Maa = 56.6 N-m C. Maa = 28.3 N-m D. Maa = 100.0 N-m