Exercise: Force System Resultants

Questions for: Force System Resultants

The pole supports a 22-lb traffic light. Using Cartesian vectors, determine the moment of the weight of the traffic light about the base of the pole at A.

A:
MA = 216k lb-ft
B:
MA = (-132i-229j-216k) lb-ft
C:
MA = (-229i+121j) lb-ft
D:
MA = (-132i+229j) lb-ft
Answer: C
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The wind has blown sand over a platform such that the intensity of load can be approximated by the function . Simplify this distributed loading to a single concentrated force and specify the magnitude and location of the force measured from A.

A:
R = 1250 N, x = 6.67 m
B:
R = 2500 N, x = 6.67 m
C:
R = 1250 N, x = 8 m
D:
R = 2500 N, x = 8 m
Answer: C
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A force of 50 N is applied to the handle of the door as shown. Determine the projection of the moment of this force about the hinged axis z. Neglect the size of the doorknob. Suggestion: Use a scaler analysis.

A:
Mz = 15.9 N-m
B:
Mz = -15.9 N-m
C:
Mz = -27.6 N-m
D:
Mz = 27.6 N-m
Answer: B
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Three parallel forces act on the rim of the tube. If it is required that the resultant force FR of the system have a line of action that coincides with the central z axis, determine the magnitude of FC and its location on the rim. What is the magnitude of the resultant force FR?

A:
Fc = 361 lb, = 56.3°, R = 861 lb
B:
Fc = 500 lb, = 54.0°, R = 1000 lb
C:
Fc = 500 lb, = 36.0°, R = 1000 lb
D:
Fc = 361 lb, = 36.9°, R = 861 lb
Answer: A
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Determine the magnitude and direction of the moment of the force at A about point P.

A:
Mp = 0.707 kN-m
B:
Mp = 5.66 kN-m
C:
Mp = 5.70 kN-m
D:
Mp = 4.50 kN-m
Answer: B
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