Engineering Mechanics - Force Vectors

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Exercise

General Questions

"Success has many fathers, while failure is an orphan."

- (Proverb)

21.

Determine the magnitude of the x and y components of the 2—kN force.

A.	Fx = -1.414 kN, Fy = -1.414 kN
B.	Fx = -1.000 kN, Fy = -1.732 kN
C.	Fx = -1.732 kN, Fy = -1.000 kN
D.	Fx = -4.000 kN, Fy = -2.312 kN

22.

Cable BC exerts a force of F = 28 N on the top of the flagpole. Determine the projection of this force along the positive z axis of the pole.

A.	F = 24 N
B.	F = -24 N
C.	F = 12 N
D.	F = 12 N

23.

Determine the magnitudes of the resultant force and its direction measured from the positive x axis.

A.	R = 12.49 kN, = 43.9° CW
B.	R = 13.6 kN, = 21.5° CW
C.	R = 14.00 kN, = 60.0° CW
D.	R = 10.80 kN, = 68.2° CW

24.

Determine the design angle ( <90°) bretween the two struts so that the 500-lb horizontal force has a component of 600lb directed from A toward C. That is the component of force acting along member AB?

A.	F_AB = 321 lb, = 40.0°
B.	F_AB = 383 lb, = 36.9°
C.	F_AB = 171.1 lb, = 20.0°
D.	F_AB = 215 lb, = 52.7°

25.

Determine the magnitude and direction of F so that this force has components of 40 lb acting from A toward B and 60lb acting from A toward C on the frame.

A.	F = 44.7 lb, = 22.9°
B.	F = 80.3 lb, = 46.2°
C.	F = 62.9 lb, = 37.1°
D.	F = 72.1 lb, = 56.3°