Engineering Mechanics - Force System Resultants

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Exercise

General Questions

"Everything you can imagine is real."

- Pablo Picasso

11.

Determine the moment of force F₃ about point A on the beam.

A.	M3 = 6930 ft-lb
B.	M3 = 6000 ft-lb
C.	M3 = 3000 ft-lb
D.	M3 = 4000 ft-lb

12.

Replace the force at A by an equivalent force and couple moment at P. Express the results on Cartesian vector form.

A.	F = (-50i+20j+30k) N, M = (50i-130j+170k) N-m
B.	F = (-50i+20j+30k) N, M = (-50i+60j+60k) N-m
C.	F = (50i-20j-30k) N, M = (-50i+130j-170k) N-m
D.	F = (50i-20j-30k) N, M = (50i-60j-60k) N-m

13.

Replace the force at A by an equivalent force and couple moment at P. Express the results on Cartesian vector form.

A.	F = (60j-80k) lb, M = (20i+160j+120k) lb-ft
B.	F = (60j-80k) lb, M = (300j+560k) lb-ft
C.	F = (60j-80k) lb, M = 20i lb-ft
D.	F = (60j-80k) lb, M = (-160i-400j+120k) lb-ft

14.

A force and couple act on the pipe assembly. Replace this system by an equivalent single resultant force. Specify the location of the resultant force along the y axis, measured from A. The pipe lies in the x-y plane.

A.	R = 25k lb, y = -0.9 ft
B.	R = 25k lb, y = 0.9 ft
C.	R = 25k lb, y = 3.9 ft
D.	R = 25k lb, y = -3.9 ft

15.

Determine the couple moment. Use a vector analysis and express the result as a Cartesian vector.

A.	M = (800i-4800j-800k) lb-ft
B.	M = (4000i-2000j+4000k) lb-ft
C.	M = (-4000i+7000j-4000k) lb-ft
D.	M = (-800i-4800j-800k) lb-ft