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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

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