Force System Resultants

Determine the moment of the force at A about point P. Use a vector analysis and express the result in Cartesian vector form.

A:

M_P = (160i+240j+40k) N-m

B:

M_P = (380i+160j+400k) N-m

C:

M_P = (280i+200j+400k) N-m

D:

M_P = (40i+80k) N-m

Answer: D

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The resultant force of a wind loading acts perpendicular to the face of the sign as shown. Replace this force by an equivalent force and couple moment acting at point O.

A:

F = -120i lb, M = (-3000j+1800k) lb-ft

B:

F = -120i lb, M = 3500i lb-ft

C:

F = -120i lb, M = -3500j lb-ft

D:

F = -120i lb, M = 3500k lb-ft

Answer: A

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Replace the force F, having a magnitude of F = 40 lb and acting at B, by an equivalent force and couple moment at A.

A:

F = (32i-24k) lb, M = (-120i+96j-160k) lb-ft

B:

F = (32i-24k) lb, M = 233k lb-ft

C:

F = (32i-24k) lb, M = -72k lb-ft

D:

F = (32i-24k) lb, M = (-120i+160j+40k) lb-ft

Answer: A

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A twist of 4 N-m is applied to the handle of the screwdriver. Resolve this couple moment into a pair of couple forces F exerted on the handle.

A:

P = 20 N

B:

P = 10 N

C:

P = 800 N

D:

P = 1600 N

Answer: C

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Determine the magnitude and direction of the couple moment.

A:

M = 3900 lb-ft CW

B:

M = 3900 lb-ft CCW

C:

M = 3120 lb-ft CW

D:

M = 3120 lb-ft CCW

Answer: D

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Questions for: Force System Resultants